Post #2153516
2026-01-19 15:46 UTC
40999180004300000 / 999970000299999 = 41.
00041 # prime
00043 # prime
00047 # prime
00053 # prime
00061 00071 00083 # all three prime
00097 00113 00131 00151 00173 # yes, still prime
00197 00223 00251 00281 00313 00347 00383 # even more prime
00421 00461 00503 00547 00593 00641 00691 00743 # still all prime
00797 00853 00911 00971 01033 01097 01163 01231 # more same
01301 01373 01447 01523 01601 ... # you get the picture
Replies (2)
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@gjm@mathstodon.xyz 2026-01-19 16:03
@dpiponi@mathstodon.xyz That's very clever! (It's Euler's ๐ยฒ+๐+41 thing in disguise. And of course it just happens to break down immediately after that 01601 block.) [EDITED to add:] And therefore the fact that this thing works is ultimately related to the fact that exp(pi sqrt(163)) is so close to an integer!
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@sjb@mstdn.io 2026-01-19 16:13
@dpiponi@mathstodon.xyz Ah, thought I'd seen this thing with 41 before: https://www.geeksforgeeks.org/maths/eulers-prime-formula/