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| A new highest prime was announced at mersenne.org , which is a Mersenne prime: $$2^{136279841}-1$$ The beginning and end are > 88169432750383326555...55076706219486871551. This also leads to the newest known perfect number: ... |
| Turns out this is the 1-4 [Doyle Spiral][1]. ![enter image description here][2] Here's the 1-5 spiral. ![enter image description here][3] The whole series seems to have unusual symmetry polynomials. [1]:... |
| &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/4690e37b-ec25-4f22-9442-7e5aede8fa3d |
| ![Mathematical Games: ordering and canonical forms][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=10404Main19092024.png&userId=20103 [2]:... |
| Simpler code. RootReduce[ With[{a = GoldenRatio}, ResourceFunction["SignedPermutations"][#, "Even"] & /@ { {0, 0, 2, 2}, {a, a, a, 1/a^2}, {1, 1, 1, Sqrt[5]}, {1/a, 1/a, 1/a, a^2}, {0, 1/a, a, Sqrt[5]}, {0, 1/a^2, 1, a^2},... |
| ![Different ordinary graphs: creation and visualization][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=6482MainImage.png&userId=20103 [2]:... |
| ![New record in elliptic curves by Elkies - Klagsbrun: rank 29][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=4298Hero.png&userId=20103 [2]:... |
| &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/5c5f06b4-7564-4d82-a043-9e3cfb1dbc17 |
| ![Icosahedra and other polyforms][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=10532Hero.png&userId=20103 [2]: https://www.wolframcloud.com/obj/53b7ffba-7409-4d62-a9b4-a357001c69c8 |
| ![enter image description here][1] &[Wolfram Notebook][2] [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=5748HeroImage.png&userId=20103 [2]: https://www.wolframcloud.com/obj/1d21d10c-ff31-4e75-a064-7a4ad7b0e449 |