RE: https://mastodon.social/@lobsters/116002869083328549

#maths #mathematics #number #NumberTheory #computation #BusyBeaver #LambdaCalculus #LargeNumbers
https://tromp.github.io/blog/2026/01/28/largest-number-revised

Decomposing factorial of 300K as the product of 300K factors larger than 100K

http://gus-massa.blogspot.com/2025/04/decomposing-factorial-of-300k-as.html

#HackerNews #Decomposing #Factorial #Math #Combinatorics #LargeNumbers #Factorial300K #Mathematics

An integer such that \(|n \sin n| < \frac{1}{100} \):

24601380675524336658795853487354792913292306568969976877608701100262917729585706849233715783903919371715132188822420195187696120664994930093541686222663402766764152722154749989612837640633759233386368955429860772000403565799448855559323214074501068129750222454625605102837101179025099620414496481130346904857052062782826052958131860952042802044100028854746645521520483944215121734765448869545269010336132745721327390906755265539221239245260032645999646618965732279710622220299206567698553753851194811040562220447447053264356601150573747945238004189943497156692669104110916173251998364153422577324308312788651701237200095139973856152299587895589111481221906281366923502797749683094698958550724794878831826807297839819134297181448807108467216789321646063528500671573

Found by searching through every even entry in https://oeis.org/A002486, multiplied by pi and rounded to the nearest integer. It's the sole result from that method! Most of the resulting values are closer in magnitude to 1.

#pi #largenumbers #bruteforce

Why π^π^π^π could be an #integer (for all we know!)

https://www.youtube.com/watch?v=BdHFLfv-ThQ&ab_channel=Stand-upMaths

#Pi #Maths #Math #Mathematics #Algebra #Fractions #IrrationalNumbers #TranscendentalNumbers #Computing #LargeNumbers #Computation #ComputingPower