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Search results for tag #numbertheory

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[?]Rémi Eismann » 🌐
@decompwlj@mathstodon.xyz

My favorite Fable 5 report, the 7th edition:
Conjecture ledger and primes graph:

Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

For privacy ➡️ web.archive.org/web/2026080603

The conjecture ledger of the founding paper

Alt...The conjecture ledger of the founding paper

Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

    Privacy and Surveillance boosted

    [?]Rémi Eismann » 🌐
    @decompwlj@mathstodon.xyz

    My favorite Fable 5 report, the 7th edition:
    Conjecture ledger and primes graph:

    Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

    For privacy ➡️ web.archive.org/web/2026080603

    The conjecture ledger of the founding paper

    Alt...The conjecture ledger of the founding paper

    Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

    Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

      Privacy and Surveillance boosted

      [?]Rémi Eismann » 🌐
      @decompwlj@mathstodon.xyz

      My favorite Fable 5 report, the 7th edition:
      Conjecture ledger and primes graph:

      Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

      For privacy ➡️ web.archive.org/web/2026080603

      The conjecture ledger of the founding paper

      Alt...The conjecture ledger of the founding paper

      Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

      Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

        Privacy and Surveillance boosted

        [?]Rémi Eismann » 🌐
        @decompwlj@mathstodon.xyz

        My favorite Fable 5 report, the 7th edition:
        Conjecture ledger and primes graph:

        Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

        For privacy ➡️ web.archive.org/web/2026080603

        The conjecture ledger of the founding paper

        Alt...The conjecture ledger of the founding paper

        Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

        Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

          Privacy and Surveillance boosted

          [?]Rémi Eismann » 🌐
          @decompwlj@mathstodon.xyz

          My favorite Fable 5 report, the 7th edition:
          Conjecture ledger and primes graph:

          Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

          For privacy ➡️ web.archive.org/web/2026080603

          The conjecture ledger of the founding paper

          Alt...The conjecture ledger of the founding paper

          Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

          Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

            Privacy and Surveillance boosted

            [?]Rémi Eismann » 🌐
            @decompwlj@mathstodon.xyz

            My favorite Fable 5 report, the 7th edition:
            Conjecture ledger and primes graph:

            Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

            For privacy ➡️ web.archive.org/web/2026080603

            The conjecture ledger of the founding paper

            Alt...The conjecture ledger of the founding paper

            Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

            Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

              Privacy and Surveillance boosted

              [?]Rémi Eismann » 🌐
              @decompwlj@mathstodon.xyz

              My favorite Fable 5 report, the 7th edition:
              Conjecture ledger and primes graph:

              Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

              For privacy ➡️ web.archive.org/web/2026080603

              The conjecture ledger of the founding paper

              Alt...The conjecture ledger of the founding paper

              Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

              Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                Privacy and Surveillance boosted

                [?]Rémi Eismann » 🌐
                @decompwlj@mathstodon.xyz

                My favorite Fable 5 report, the 7th edition:
                Conjecture ledger and primes graph:

                Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

                For privacy ➡️ web.archive.org/web/2026080603

                The conjecture ledger of the founding paper

                Alt...The conjecture ledger of the founding paper

                Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                  Privacy and Surveillance boosted

                  [?]Rémi Eismann » 🌐
                  @decompwlj@mathstodon.xyz

                  My favorite Fable 5 report, the 7th edition:
                  Conjecture ledger and primes graph:

                  Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

                  For privacy ➡️ web.archive.org/web/2026080603

                  The conjecture ledger of the founding paper

                  Alt...The conjecture ledger of the founding paper

                  Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                  Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                    Privacy and Surveillance boosted

                    [?]Rémi Eismann » 🌐
                    @decompwlj@mathstodon.xyz

                    My favorite Fable 5 report, the 7th edition:
                    Conjecture ledger and primes graph:

                    Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

                    For privacy ➡️ web.archive.org/web/2026080603

                    The conjecture ledger of the founding paper

                    Alt...The conjecture ledger of the founding paper

                    Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                    Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                      Privacy and Surveillance boosted

                      [?]Rémi Eismann » 🌐
                      @decompwlj@mathstodon.xyz

                      My favorite Fable 5 report, the 7th edition:
                      Conjecture ledger and primes graph:

                      Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

                      For privacy ➡️ web.archive.org/web/2026080603

                      The conjecture ledger of the founding paper

                      Alt...The conjecture ledger of the founding paper

                      Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                      Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                        Privacy and Surveillance boosted

                        [?]Rémi Eismann » 🌐
                        @decompwlj@mathstodon.xyz

                        My last Fable 5 credits for the final 8th edition:

                        Fable 5 - 8th edition - Final ➡️ decompwlj.com/Fable5_decompwlj

                        For privacy ➡️ web.archive.org/web/2026080806

                        Graph: Natural numbers - the sieve of Eratosthenes

                        Alt...Graph: Natural numbers - the sieve of Eratosthenes

                        Graph: Primes under the decomposition

                        Alt...Graph: Primes under the decomposition

                          Privacy and Surveillance boosted

                          [?]Rémi Eismann » 🌐
                          @decompwlj@mathstodon.xyz

                          My last Fable 5 credits for the final 8th edition:

                          Fable 5 - 8th edition - Final ➡️ decompwlj.com/Fable5_decompwlj

                          For privacy ➡️ web.archive.org/web/2026080806

                          Graph: Natural numbers - the sieve of Eratosthenes

                          Alt...Graph: Natural numbers - the sieve of Eratosthenes

                          Graph: Primes under the decomposition

                          Alt...Graph: Primes under the decomposition

                            Privacy and Surveillance boosted

                            [?]Rémi Eismann » 🌐
                            @decompwlj@mathstodon.xyz

                            My last Fable 5 credits for the final 8th edition:

                            Fable 5 - 8th edition - Final ➡️ decompwlj.com/Fable5_decompwlj

                            For privacy ➡️ web.archive.org/web/2026080904

                            Graph: Natural numbers - the sieve of Eratosthenes

                            Alt...Graph: Natural numbers - the sieve of Eratosthenes

                            Graph: Primes under the decomposition

                            Alt...Graph: Primes under the decomposition

                              Privacy and Surveillance boosted

                              [?]Rémi Eismann » 🌐
                              @decompwlj@mathstodon.xyz

                              My last Fable 5 credits for the final 8th edition:

                              Fable 5 - 8th edition - Final ➡️ decompwlj.com/Fable5_decompwlj

                              For privacy ➡️ web.archive.org/web/2026080806

                              Natural numbers - the sieve of Eratosthenes

                              Alt...Natural numbers - the sieve of Eratosthenes

                              Primes under the decomposition.

                              Alt...Primes under the decomposition.

                                Privacy and Surveillance boosted

                                [?]Rémi Eismann » 🌐
                                @decompwlj@mathstodon.xyz

                                I burn my last Fable 5 credits, very nice graphs.
                                Primes under the decomposition - First 1 500 000 primes.
                                Natural numbers ≤ 30 000 - the sieve of Eratosthenes.

                                Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

                                For privacy ➡️ web.archive.org/web/2026080603

                                Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                Alt...Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                  Privacy and Surveillance boosted

                                  [?]Rémi Eismann » 🌐
                                  @decompwlj@mathstodon.xyz

                                  I burn my last Fable 5 credits, very nice graphs.
                                  Primes under the decomposition - First 1 500 000 primes.
                                  Natural numbers ≤ 30 000 - the sieve of Eratosthenes.

                                  Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

                                  For privacy ➡️ web.archive.org/web/2026080603

                                  Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                  Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                  Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                  Alt...Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                    Privacy and Surveillance boosted

                                    [?]Rémi Eismann » 🌐
                                    @decompwlj@mathstodon.xyz

                                    I burn my last Fable 5 credits, very nice graphs.
                                    Primes under the decomposition - First 1 500 000 primes.
                                    Natural numbers ≤ 30 000 - the sieve of Eratosthenes.

                                    Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

                                    For privacy ➡️ web.archive.org/web/2026080603

                                    Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                    Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                    Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                    Alt...Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                      Privacy and Surveillance boosted

                                      [?]Rémi Eismann » 🌐
                                      @decompwlj@mathstodon.xyz

                                      Prompt: "Possible connections of the with famous conjectures in number theory."

                                      GPT-5.6 Sol Max, HTML report ➡️ decompwlj.com/GPTSol_decompwlj

                                      For privacy ➡️ web.archive.org/web/2026080609

                                      Screenshot of the report by GTP5.6 Sol: "Central verdict", with a verdict on each conjectures

                                      Alt...Screenshot of the report by GTP5.6 Sol: "Central verdict", with a verdict on each conjectures

                                        Privacy and Surveillance boosted

                                        [?]Rémi Eismann » 🌐
                                        @decompwlj@mathstodon.xyz

                                        I burn my last Fable 5 credits, very nice graphs.
                                        Primes under the decomposition - First 1 500 000 primes.
                                        Natural numbers ≤ 30 000 - the sieve of Eratosthenes.

                                        Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

                                        For privacy ➡️ web.archive.org/web/2026080603

                                        Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                        Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                        Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                        Alt...Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                          Privacy and Surveillance boosted

                                          [?]Rémi Eismann » 🌐
                                          @decompwlj@mathstodon.xyz

                                          I burn my last Fable 5 credits, very nice graphs.
                                          Primes under the decomposition - First 1 500 000 primes.
                                          Natural numbers ≤ 30 000 - the sieve of Eratosthenes.

                                          Fable 5 - 7th edition ➡️ decompwlj.com/Fable5_decompwlj

                                          For privacy ➡️ web.archive.org/web/2026080603

                                          Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                          Alt...Graph by Fable 5: Primes under the decomposition - First 1 500 000 primes

                                          Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                          Alt...Graph by Fable 5:Natural numbers ≤ 30 000 - the sieve of Eratosthenes

                                            Privacy and Surveillance boosted

                                            [?]Rémi Eismann » 🌐
                                            @decompwlj@mathstodon.xyz

                                            OK, skill issue, i found 5.6 Sol Max.
                                            Potential impact if the analytic program succeeds, audited conjecture ledger and final assessment.

                                            GPT5.6 Sol Max HTML Report ➡️ decompwlj.com/GPTSol_wlj_deep_

                                            For privacy ➡️ web.archive.org/web/2026080409

                                            Potential impact if the analytic program succeeds on the report

                                            Alt...Potential impact if the analytic program succeeds on the report

                                            Audited conjecture ledger on the report

                                            Alt...Audited conjecture ledger on the report

                                            Final assessment on the report

                                            Alt...Final assessment on the report

                                              Privacy and Surveillance boosted

                                              [?]Rémi Eismann » 🌐
                                              @decompwlj@mathstodon.xyz

                                              OK, skill issue, i found 5.6 Sol Max.
                                              Potential impact if the analytic program succeeds, audited conjecture ledger and final assessment.

                                              GPT5.6 Sol Max HTML Report ➡️ decompwlj.com/GPTSol_wlj_deep_

                                              For privacy ➡️ web.archive.org/web/2026080409

                                              Potential impact if the analytic program succeeds on the report

                                              Alt...Potential impact if the analytic program succeeds on the report

                                              Audited conjecture ledger on the report

                                              Alt...Audited conjecture ledger on the report

                                              Final assessment on the report

                                              Alt...Final assessment on the report

                                                Privacy and Surveillance boosted

                                                [?]Rémi Eismann » 🌐
                                                @decompwlj@mathstodon.xyz

                                                OK, skill issue, i found 5.6 Sol Max.
                                                Potential impact if the analytic program succeeds, audited conjecture ledger and final assessment.

                                                GPT5.6 Sol Max HTML Report ➡️ decompwlj.com/GPTSol_wlj_deep_

                                                For privacy ➡️ web.archive.org/web/2026080409

                                                Potential impact if the analytic program succeeds on the report, links in comment

                                                Alt...Potential impact if the analytic program succeeds on the report, links in comment

                                                Audited conjecture ledger on the report, links in comment

                                                Alt...Audited conjecture ledger on the report, links in comment

                                                Final assessment on the report, links in comment

                                                Alt...Final assessment on the report, links in comment

                                                  Privacy and Surveillance boosted

                                                  [?]Rémi Eismann » 🌐
                                                  @decompwlj@mathstodon.xyz

                                                  The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                  Conjecture 9 proved (pending external refereeing)

                                                  Sixth report (Opus 5 max):
                                                  decompwlj.com/decompwlj_deep_a

                                                  For privacy ➡️ web.archive.org/web/2026072910

                                                  4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                  Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                    Privacy and Surveillance boosted

                                                    [?]Rémi Eismann » 🌐
                                                    @decompwlj@mathstodon.xyz

                                                    The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                    Conjecture 9 proved (pending external refereeing)

                                                    Sixth report (Opus 5 max):
                                                    decompwlj.com/decompwlj_deep_a

                                                    For privacy ➡️ web.archive.org/web/2026072910

                                                    4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                    Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                      Privacy and Surveillance boosted

                                                      [?]Rémi Eismann » 🌐
                                                      @decompwlj@mathstodon.xyz

                                                      The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                      Conjecture 9 proved (pending external refereeing)

                                                      Sixth report (Opus 5 max):
                                                      decompwlj.com/decompwlj_deep_a

                                                      For privacy ➡️ web.archive.org/web/2026072910

                                                      4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                      Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                        Privacy and Surveillance boosted

                                                        [?]Rémi Eismann » 🌐
                                                        @decompwlj@mathstodon.xyz

                                                        The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                        Conjecture 9 proved (pending external refereeing)

                                                        Sixth report (Opus 5 max):
                                                        decompwlj.com/decompwlj_deep_a

                                                        For privacy ➡️ web.archive.org/web/2026072910

                                                        4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                        Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                          Privacy and Surveillance boosted

                                                          [?]Rémi Eismann » 🌐
                                                          @decompwlj@mathstodon.xyz

                                                          The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                          Conjecture 9 proved (pending external refereeing)

                                                          Sixth report (Opus 5 max):
                                                          decompwlj.com/decompwlj_deep_a

                                                          For privacy ➡️ web.archive.org/web/2026072910

                                                          4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                          Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                            Privacy and Surveillance boosted

                                                            [?]Rémi Eismann » 🌐
                                                            @decompwlj@mathstodon.xyz

                                                            The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                            Conjecture 9 proved (pending external refereeing)

                                                            Sixth report (Opus 5 max):
                                                            decompwlj.com/decompwlj_deep_a

                                                            For privacy ➡️ web.archive.org/web/2026072910

                                                            4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                            Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                              Privacy and Surveillance boosted

                                                              [?]Rémi Eismann » 🌐
                                                              @decompwlj@mathstodon.xyz

                                                              The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                              Conjecture 9 proved (pending external refereeing)

                                                              Sixth report (Opus 5 max):
                                                              decompwlj.com/decompwlj_deep_a

                                                              For privacy ➡️ web.archive.org/web/2026072910

                                                              4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                              Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                                Privacy and Surveillance boosted

                                                                [?]Rémi Eismann » 🌐
                                                                @decompwlj@mathstodon.xyz

                                                                The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                                Conjecture 9 proved (pending external refereeing)

                                                                Sixth report (Opus 5 max):
                                                                decompwlj.com/decompwlj_deep_a

                                                                For privacy ➡️ web.archive.org/web/2026072910

                                                                4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                                Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                                  Privacy and Surveillance boosted

                                                                  [?]Rémi Eismann » 🌐
                                                                  @decompwlj@mathstodon.xyz

                                                                  The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                                  Conjecture 9 proved (pending external refereeing)

                                                                  Sixth report (Opus 5 max):
                                                                  decompwlj.com/decompwlj_deep_a

                                                                  For privacy ➡️ web.archive.org/web/2026072910

                                                                  4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                                  Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                                    Privacy and Surveillance boosted

                                                                    [?]Rémi Eismann » 🌐
                                                                    @decompwlj@mathstodon.xyz

                                                                    The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                                    Conjecture 9 proved (pending external refereeing)

                                                                    Sixth report (Opus 5 max):
                                                                    decompwlj.com/decompwlj_deep_a

                                                                    For privacy ➡️ web.archive.org/web/2026072910

                                                                    4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                                    Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                                      Privacy and Surveillance boosted

                                                                      [?]Rémi Eismann » 🌐
                                                                      @decompwlj@mathstodon.xyz

                                                                      The conjecture ledger about my decomposition (Opus 5 max, 6th report)
                                                                      Conjecture 9 proved (pending external refereeing)

                                                                      Sixth report (Opus 5 max):
                                                                      decompwlj.com/decompwlj_deep_a

                                                                      For privacy ➡️ web.archive.org/web/2026072910

                                                                      4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                                      Alt...4.1 The conjecture ledger # statement status C1 infinitely many primes of weight 3 twin primes reformulation C2 infinitely many primes of weight , each odd Polignac-type reformulation C3 infinitely many primes of level , each odd reformulation C4 level-classified primes have prime weight except 13, 31, 113, 131, 887 Cube Lemma; closed to proved* C5 infinitely many primes of level (1;1) balanced primes reformulation C6 infinitely many primes of level (1;i) reformulation C7 elementary proved C8 contrapositive of C7 proved C9 level-classified primes rarefy Theorem B proved*

                                                                        Privacy and Surveillance boosted

                                                                        [?]Rémi Eismann » 🌐
                                                                        @decompwlj@mathstodon.xyz

                                                                        Deep analysis of the decomposition into weight × level + jump by Fable 5:
                                                                        455 052 508 primes decomposed;
                                                                        Conjecture 9 proved (pending external refereeing).
                                                                        Fifth report:
                                                                        ➡️ decompwlj.com/decompwlj_deep_a

                                                                        For privacy ➡️ web.archive.org/web/2026071409

                                                                        Screenshot: Conjecture 9 from the 5th report by Fable. "Theorem B (Conjecture 9 — rarefaction of the level class — proved unconditionally, pending external refereeing)"

                                                                        Alt...Screenshot: Conjecture 9 from the 5th report by Fable. "Theorem B (Conjecture 9 — rarefaction of the level class — proved unconditionally, pending external refereeing)"

                                                                          Privacy and Surveillance boosted

                                                                          [?]Rémi Eismann » 🌐
                                                                          @decompwlj@mathstodon.xyz

                                                                          Deep analysis of the decomposition into weight × level + jump by Fable 5:
                                                                          455 052 508 primes decomposed;
                                                                          Conjecture 9 proved (pending external refereeing).
                                                                          Fifth report:
                                                                          ➡️ decompwlj.com/decompwlj_deep_a

                                                                          For privacy ➡️ web.archive.org/web/2026071409

                                                                          Screenshot: Conjecture 9 from the 5th report by Fable. "Theorem B (Conjecture 9 — rarefaction of the level class — proved unconditionally, pending external refereeing)"

                                                                          Alt...Screenshot: Conjecture 9 from the 5th report by Fable. "Theorem B (Conjecture 9 — rarefaction of the level class — proved unconditionally, pending external refereeing)"

                                                                            0 ★ 1 ↺
                                                                            Light boosted

                                                                            [?]OCTADE » 🌐
                                                                            @octade@soc.octade.net

                                                                            PANGRANDOMONIUM :

                                                                            Rhizome Function Anagram Random Generator

                                                                            preprint | https://zenodo.org/records/21551292

                                                                            doi | https://orcid.org/0009-0009-5144-3278

                                                                            Herein are described principles and a scheme of random number generation styled as, pangrandomonium, or ‘pangrand’. Pangrand is a anagrammatic random number generator that uses rhizome functions as chaotic indexing and shuffling instructions to reorder and sum perfect pangrams. Brief descriptions are given for the principles of pangram summing and rhizome indexing functions, Source code of the random number generator is included herewith. The source code is attached to the PDF file.

                                                                            Sections:

                                                                            1. Pangrams (Holoalphabetic arrays) ;
                                                                            2. Rhizome Functions ;
                                                                            3. Rhizome Hardness Problems ;
                                                                            4. Random Generator Methods ;
                                                                            5. Errata ;
                                                                            6. Source Code.


                                                                              Privacy and Surveillance boosted

                                                                              [?]Rémi Eismann » 🌐
                                                                              @decompwlj@mathstodon.xyz

                                                                              Deep analysis of the decomposition into weight × level + jump by Fable 5:
                                                                              455 052 508 primes decomposed;
                                                                              Conjecture 9 proved (pending external refereeing).
                                                                              Fifth report:
                                                                              ➡️ decompwlj.com/decompwlj_deep_a

                                                                              For privacy ➡️ web.archive.org/web/2026071409

                                                                              Screenshot: Conjecture 9 from the 5th report by Fable. "Theorem B (Conjecture 9 — rarefaction of the level class — proved unconditionally, pending external refereeing)"

                                                                              Alt...Screenshot: Conjecture 9 from the 5th report by Fable. "Theorem B (Conjecture 9 — rarefaction of the level class — proved unconditionally, pending external refereeing)"

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