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Search results for tag #numbertheory

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

decompwlj 3D: 5000 OEIS integer sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs - CSV exports - OEIS link - compare sequences - similar sequences...

➡️ decompwlj.net

Alt...(demo video - about 15 seconds): decompwlj 3D: 5000 OEIS sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs

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

    Decomposition into weight × level + jump of OEIS sequence A002522: a(n) = n^2 + 1

    Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A002522

    Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A002522 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

      Decompwlj and the Great Conjectures: Opus 5.5 report: Legendre, Andrica, Cramér, the Riemann Hypothesis, twin primes, Goldbach and Collatz where they touch
      ➡️ decompwlj.com/weight-level-jum

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

        Decomposition into weight × level + jump of OEIS sequence A002479: Numbers of the form x^2 + 2*y^2

        Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A002479

        Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A002479 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

          Decomposition into weight × level + jump of OEIS sequence A002327: Primes of the form k^2 - k - 1

          Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A002327

          Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A002327 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

            Conjecture 9 formally proved in Lean 4
            ➡️ The prime numbers classified by level are rarefying among the primes

            github.com/decompwlj/Conjectur

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

              Decomposition into weight × level + jump of OEIS sequence A001751: Primes together with primes multiplied by 2

              Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A001751

              Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A001751 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

                Opus 5.5: A six-page introduction for Graduates to the decomposition into weight × level + jump of increasing integer sequences, with the primes as the main application.
                ➡️ decompwlj.com/weight-level-jum

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

                  Decomposition into weight × level + jump of OEIS sequence A001651: Numbers not divisible by 3

                  Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A001651

                  Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A001651 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

                    Decomposition into weight × level + jump of OEIS sequence A001082: Generalized octagonal numbers: k*(3*k-2), k=0, +- 1, +- 2, +-3, ...

                    Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A001082

                    Alt...Video, about 6 seconds: Decomposition into weight × level + jump of generalized octagonal numbers in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

                      Decomposition into weight × level + jump of OEIS sequence A000977: Numbers that are divisible by at least three different primes

                      Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A000977

                      Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A000977 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

                        Decomposition into weight × level + jump of OEIS sequence A000378: Sums of three squares: numbers of the form x^2 + y^2 + z^2

                        Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A000378

                        Alt...Video, about 6 seconds: Decomposition into weight × level + jump of sums of three squares in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

                          decompwlj 3D: 5000 OEIS integer sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs - CSV exports - OEIS link - compare sequences - similar sequences...

                          ➡️ decompwlj.net

                          Alt...(demo video - about 15 seconds): decompwlj 3D: 5000 OEIS sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs

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

                            Decomposition into weight × level + jump of OEIS sequence A001838: Numbers k such that phi(k+2) = phi(k) + 2

                            Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A001838

                            Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A001838 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

                              Decomposition into weight × level + jump of OEIS sequence A001740: Squares written in base 5

                              Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A001740

                              Alt...Video, about 6 seconds: Decomposition into weight × level + jump of squares written in base 5 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

                                Decomposition into weight × level + jump of OEIS sequence A001633: Numbers with an odd number of digits

                                Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A001633

                                Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A001633 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

                                  Decomposition into weight × level + jump of OEIS sequence A000212: a(n) = floor(n^2/3)

                                  Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A000212

                                  Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A000212 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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

                                    50 OEIS sequences decomposed into weight × level + jump (log(weight),log(level))

                                    5000 sequences decomposed with interactive 3D/2D three.js graphs, CSV exports,OEIS link... ➡️ decompwlj.net

                                    Alt...(video, about 50 seconds) 50 OEIS sequences decomposed into weight × level + jump - 2D Graphs (log(weight),log(level))

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

                                      Conjecture 9 formally proved in Lean 4
                                      ➡️ The prime numbers classified by level are rarefying among the primes

                                      github.com/decompwlj/Conjectur

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

                                        Decomposition into weight × level + jump of OEIS sequence A001196: Double-bitters: only even length runs in binary expansion

                                        Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A001196

                                        Alt...Video, about 6 seconds: Decomposition into weight × level + jump of A001196 in 2D (log(weight), log(level)) then a smooth transition to 3D (log(weight), log(level), log(jump))

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                                          Fascismus est delendus 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.


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