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Search took 0.05 seconds. Search: Posts Made By: wpolly
Forum: Puzzles 2020-04-02, 17:09
Replies: 27
Views: 12,716
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: 27
Views: 12,716
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: 4,683
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: 1,627
Views: 199,279
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 <digits> <no of composites> <offset> <B1> <no of curves>
wget -O c.inp...
Forum: Math 2019-12-16, 20:42
Replies: 2
Views: 4,425
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: 561
Views: 105,516
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: 180
Views: 59,115
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.
Forum: And now for something completely different 2019-06-18, 10:27
Replies: 164
Views: 36,092
Posted By wpolly
Primo/FastECPP 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: 3,613
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: 180
Views: 59,115
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: 1,031
Views: 138,117
Posted By wpolly
1788660 terminates in a cycle.

1788660 terminates in a cycle.
Forum: Software 2019-04-11, 19:54
Replies: 8
Views: 1,289
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: 1,289
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: 1,920
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: 1,031
Views: 138,117
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: 3,685
Views: 432,648
Posted By wpolly
Drop 2075022 (2^5*C111)

Drop 2075022 (2^5*C111)
Forum: Aliquot Sequences 2019-03-19, 20:11
Replies: 3,685
Views: 432,648
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: 3,402
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: 3,685
Views: 432,648
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: 3,685
Views: 432,648
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: 1,520
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: 3,685
Views: 432,648
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: 8,661
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: 8,661
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: 3,685
Views: 432,648
Posted By wpolly
Take 2907912

Take 2907912
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