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Search results for tag #numbertheory

[?]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

    [?]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

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

      [?]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

        [?]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

          [?]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

            [?]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

              [?]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

                [?]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*

                  [?]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*

                    [?]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*

                      [?]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*

                        [?]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*

                          [?]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*

                            [?]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*

                              [?]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*

                                [?]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*

                                  [?]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*

                                    [?]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*

                                      [?]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)"

                                        [?]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.


                                            [?]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)"

                                              [?]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)"

                                                [?]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)"

                                                  [?]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)"

                                                    [?]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)"

                                                      [?]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)"

                                                        [?]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)"

                                                          [?]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)"

                                                            [?]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)"

                                                              [?]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)"

                                                                [?]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)"

                                                                  [?]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)"

                                                                    [?]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)"

                                                                      [?]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)"

                                                                        [?]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)"

                                                                          [?]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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