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 Showing results 1 to 25 of 219 Search took 0.04 seconds. Search: Posts Made By: wpolly
 Forum: Puzzles 2020-04-02, 17:09 Replies: 21 Views: 2,869 Posted By wpolly See Terry Tao's blogpost... See Terry Tao's blogpost (https://terrytao.wordpress.com/2010/04/10/the-euler-maclaurin-formula-bernoulli-numbers-the-zeta-function-and-real-variable-analytic-continuation/) regarding such...
 Forum: Puzzles 2020-03-27, 13:09 Replies: 21 Views: 2,869 Posted By wpolly Sadly, in the regime of regularized sums, we no... Sadly, in the regime of regularized sums, we no longer have 0 + 1 + 2 + 3 + ... = 1 + 2 + 3 + ...
 Forum: Miscellaneous Math 2020-02-10, 11:12 Replies: 17 Views: 1,830 Posted By wpolly Simple heuristic argument: the "binary... Simple heuristic argument: the "binary complement" operation roughly divides a number by 4 on average (integrate log((1-a)/(1+a)) on [0,1] gives -2log2), so most starting numbers "should" converge to...
 Forum: FactorDB 2020-01-21, 18:15 Replies: 1,616 Views: 122,520 Posted By wpolly In the same vein, a simple batch-ECM shell... In the same vein, a simple batch-ECM shell script: # usage: auto_ecm.sh wget -O c.inp...
 Forum: Math 2019-12-16, 20:42 Replies: 2 Views: 1,438 Posted By wpolly Something even more strange: certain sequences... Something even more strange: certain sequences possess a "double Aurifeullian factorization". For instance: if P=2 and Q=10, Then for odd k we have ...
 Forum: FactorDB 2019-06-23, 20:47 Replies: 455 Views: 41,785 Posted By wpolly Also broken from here. I pinpointed the problem... Also broken from here. I pinpointed the problem to a single composite: http://factordb.com/listtype.php?t=3&start=9386&perpage=1&mindig=652
 Forum: FactorDB 2019-06-18, 14:47 Replies: 126 Views: 18,161 Posted By wpolly I've made a thread in that subforum. Feel free to... I've made a thread in that subforum. Feel free to move it to where you see fit.
 2019-06-18, 10:27 Replies: 19 Views: 5,545 Posted By wpolly Primo reservation thread This thread is made following the suggestion of Paul Underwood in this post (https://www.mersenneforum.org/showpost.php?p=519485&postcount=100), as a place of reserving large PRPs for ECPP testing. ...
 Forum: Prime Wiki 2019-05-18, 14:57 Replies: 6 Sticky: Let me in! Views: 1,225 Posted By wpolly I would like to request an account. Username is... I would like to request an account. Username is the same as forum username. Done.
 Forum: FactorDB 2019-05-05, 20:31 Replies: 126 Views: 18,161 Posted By wpolly I guess R49081 is always there, but I'm not sure... I guess R49081 is always there, but I'm not sure if it's feasible now....
 Forum: Aliquot Sequences 2019-04-25, 13:31 Replies: 963 Views: 71,127 Posted By wpolly 1788660 terminates in a cycle. 1788660 terminates in a cycle.
 Forum: Software 2019-04-11, 19:54 Replies: 8 Views: 501 Posted By wpolly It still gives the error "*** WARNING *** Illegal... It still gives the error "*** WARNING *** Illegal internal functioncall to @trivial".
 Forum: Software 2019-04-11, 17:14 Replies: 8 Views: 501 Posted By wpolly PFGW scripting help I'm writing a small PFGW script, and ran into a problem where I cannot use expressions with functions in it. A minimal working example: SCRIPT DIM nn,U(130021) PRP nn END throws a "***...
 Forum: Math 2019-04-08, 08:34 Replies: 0 Views: 459 Posted By wpolly On the final divisor test in APR-CL So I'm planning to run an hybrid N-1/APRCL test on a 21k digit PRP (specifically, Phi(32481,10) where N-1 has been factored to ~20%). I have several question regarding the choice of parameters and...
 Forum: Aliquot Sequences 2019-04-07, 14:47 Replies: 963 Views: 71,127 Posted By wpolly It appears that 1972050:i5526=4799576=1134384:i55 It appears that 1972050:i5526=4799576=1134384:i55
 Forum: Aliquot Sequences 2019-03-20, 17:23 Replies: 3,350 Views: 263,136 Posted By wpolly Drop 2075022 (2^5*C111) Drop 2075022 (2^5*C111)
 Forum: Aliquot Sequences 2019-03-19, 20:11 Replies: 3,350 Views: 263,136 Posted By wpolly Drop 2399400 (2^3*3*5*C115) Take 2075022 Drop 2399400 (2^3*3*5*C115) Take 2075022
 Forum: Factoring 2019-03-18, 18:58 Replies: 9 Views: 1,032 Posted By wpolly I believe that using x-->x^2-2 in the rho method... I believe that using x-->x^2-2 in the rho method causes the cycle to be length O(p) instead of O(sqrt(p)). For instance, for the prime factor 228479 of M71, x-->x^2-1 finds a cycle in 658...
 Forum: Aliquot Sequences 2019-03-18, 18:13 Replies: 3,350 Views: 263,136 Posted By wpolly take 2399400 drop 2734176 (2^2*ECM'ed C117) take 2399400 drop 2734176 (2^2*ECM'ed C117)
 Forum: Aliquot Sequences 2019-03-15, 10:20 Replies: 3,350 Views: 263,136 Posted By wpolly Drop 2626248 (2*3, ECM-ed C112) Take 2734176 Drop 2626248 (2*3, ECM-ed C112) Take 2734176
 Forum: Factoring 2019-03-14, 09:15 Replies: 6 Views: 581 Posted By wpolly The basic Euclidean algorithm runs in O((\log... The basic Euclidean algorithm runs in O((\log n)^2) already.
 Forum: Aliquot Sequences 2019-03-13, 17:42 Replies: 3,350 Views: 263,136 Posted By wpolly Drop 2907912 (2^4*5351*ECM'ed C113) Take 2626248 Drop 2907912 (2^4*5351*ECM'ed C113) Take 2626248
 Forum: FactorDB 2019-03-08, 18:32 Replies: 5 Views: 2,062 Posted By wpolly I can identify two further birthdays (both in the... I can identify two further birthdays (both in the 60s), presumably their parents....
 Forum: FactorDB 2019-03-08, 13:59 Replies: 5 Views: 2,062 Posted By wpolly Spammers in FactorDB As we know, lots of nonsensical composites are being added to the database every hour, overwhelming the factorisation workers and has pushed the total number of <120 digit composites up to 900K. I've...
 Forum: Aliquot Sequences 2019-03-07, 10:55 Replies: 3,350 Views: 263,136 Posted By wpolly Take 2907912 Take 2907912
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