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 Showing results 1 to 25 of 1000 Search took 0.35 seconds. Search: Posts Made By: paulunderwood
 2022-11-28, 08:03 Replies: 182 Views: 43,399 Posted By paulunderwood This number failed at Size [8] 215618 bits with:... This number failed at Size [8] 215618 bits with: mu_div_qr GNU MP assertion failed cy == co. I am now attempting to certify the cofactor of M221509 (prp66673).
 2022-11-27, 19:51 Replies: 209 Views: 22,845 Posted By paulunderwood Thanks Robert. The only thing I had to do... Thanks Robert. The only thing I had to do differently to your instructions was to use #include "/home/paul/Downloads/gmp-6.2.1/gmp-impl.h" I am looking forward to seeing a nice speed up in...
 Forum: Miscellaneous Math 2022-11-27, 16:47 Replies: 22 Views: 1,339 Posted By paulunderwood As with "-12" (GCD-less probably because the... As with "-12" (GCD-less probably because the discriminant of at r=znorder(Mod(-12,n)) is 1+48, a square) compared to "12", and comparing "-3" to "3" -- the latter needing GCD depending on whether n...
 Forum: Miscellaneous Math 2022-11-27, 01:04 Replies: 22 Views: 1,339 Posted By paulunderwood Hah, I made a complete blunder. The conclusion is... Hah, I made a complete blunder. The conclusion is 1=1. I have marked it with a red X.
 Forum: Miscellaneous Math 2022-11-26, 17:05 Replies: 22 Views: 1,339 Posted By paulunderwood Partial proof For a basis we know prime $$p$$ that $$x^{p+1} \equiv -3 \pmod{n, x^2-3^rx-3}$$ where the Jacobi symbol of the discriminant is $$-1$$. Now suppose $$n=pq$$ where $$q>1$$ not necessarily prime. ...
 Forum: Miscellaneous Math 2022-11-26, 10:17 Replies: 22 Views: 1,339 Posted By paulunderwood partial results The GCD-less test for "-12" was verrified using Par/GP my forumite mart_t and me up to 1.2*10^12. The test for "-3" has now reached 10^12 using GMP+primesieve. It will take a couple of Celeron CPU...
 2022-11-25, 20:45 Replies: 209 Views: 22,845 Posted By paulunderwood Looking at the source for lib/nt.c I see: ... Looking at the source for lib/nt.c I see: unsigned long int cm_nt_next_prime (const unsigned long int n) /* returns the prime following n */ { static bool init = true; #ifdef WITH_MPI...
 2022-11-25, 05:06 Replies: 182 Views: 43,399 Posted By paulunderwood Done: Certified and registered at The Prime Pages... Done: Certified and registered at The Prime Pages (https://primes.utm.edu/primes/page.php?id=134576) and factorDB. Reserving the M216317 cofactor (https://www.mersenne.ca/exponent/216317)...
 Forum: Data 2022-11-25, 04:57 Replies: 592 Views: 129,571 Posted By paulunderwood I have just made a submission to The Prime Pages... I have just made a submission to The Prime Pages and uploaded the certificate do factorDB for the M174533 cofactor (https://primes.utm.edu/primes/page.php?id=134576). :flex:
 2022-11-24, 00:42 Replies: 209 Views: 22,845 Posted By paulunderwood I have had a dreaded "*** No suitable curve... I have had a dreaded "*** No suitable curve found!" at about 20k digits of a 52k digit number. Re-running after reboot to see if it happens again. What can I do to remedy it? Interestingly instead...
 Forum: Lounge 2022-11-23, 17:12 Replies: 2,017 Views: 263,327 Posted By paulunderwood Wilko Johnson https://www.theguardian.com/music/2022/nov/23/wilko-johnson-obituary A great punk era inspiring guitarist! Yp2DvPKh118
 Forum: mersenne.ca 2022-11-23, 14:09 Replies: 973 Sticky: mersenne.ca Views: 137,906 Posted By paulunderwood Thanks for testing. Rebooting my router seems to... Thanks for testing. Rebooting my router seems to hve fixed the issue. :tu:
 Forum: mersenne.ca 2022-11-23, 14:00 Replies: 973 Sticky: mersenne.ca Views: 137,906 Posted By paulunderwood 504 I am getting 504 Gateway Time-out on https://www.mersenne.ca/prp.php :down:
 2022-11-22, 02:39 Replies: 209 Views: 22,845 Posted By paulunderwood It should be #include and not #include... It should be #include and not #include "gmp.h". Does this change fix your problem?
 2022-11-21, 22:35 Replies: 209 Views: 22,845 Posted By paulunderwood For GMP have you either installed libgmp-dev... For GMP have you either installed libgmp-dev (debian based systems) or ./configure && make && make check && sudo make install in the GMP directory? With either of these ways compiling with #include...
 Forum: PrimeNet 2022-11-21, 19:27 Replies: 24 Views: 991 Posted By paulunderwood Do the math: core count times GHz, and compare. ... Do the math: core count times GHz, and compare. " I think lower "time" is better.
 Forum: PrimeNet 2022-11-21, 19:19 Replies: 24 Views: 991 Posted By paulunderwood Could this laptop of yours be TDP limited? That... Could this laptop of yours be TDP limited? That might be what's happening.
 Forum: Information & Answers 2022-11-21, 18:37 Replies: 1 Views: 326 Posted By paulunderwood Your computer has had 1 Gerbicz EDAC (Error... Your computer has had 1 Gerbicz EDAC (Error detection and correction), Things are rosy. Install some temperature measuring software. Things to watch out for are: temperature voltage ...
 Forum: Miscellaneous Math 2022-11-21, 06:51 Replies: 22 Views: 1,339 Posted By paulunderwood I fixed a few things in the paper that were... I fixed a few things in the paper that were mistakes. A GMP+primesieve program is now running here. It is much faster tha the Pari/GP one. I posted on Math.StackExchange but the thread was...
 Forum: Miscellaneous Math 2022-11-20, 05:34 Replies: 22 Views: 1,339 Posted By paulunderwood Here is a short paper about this Lucas(n,3^r,-3)... Here is a short paper about this Lucas(n,3^r,-3) test. Now I have to get into coding up a verification program written with GMP+primesieve. Pari/GP is too slow for the purpose. As I say in the...
 Forum: Lounge 2022-11-19, 22:22 Replies: 36 Views: 1,062 Posted By paulunderwood Despite what FIFA have said about human rights in... Despite what FIFA have said about human rights in The West over the last 3 millennia, Qatar's record on anything that is not totally male dominance and workers' safety is atrocious. I guess bribery...
 Forum: Miscellaneous Math 2022-11-15, 07:30 Replies: 22 Views: 1,339 Posted By paulunderwood (Lucas) Q=-3 seems the natural base to study as... (Lucas) Q=-3 seems the natural base to study as it is the discriminant of z^2+-z+1. In practice, avoidance of z^2-z+1 seems sufficient. This divides z^3+1 which divides z^6-1. We have...
 Forum: Miscellaneous Math 2022-11-14, 11:47 Replies: 22 Views: 1,339 Posted By paulunderwood A proof? We are busy verifying to 10^12, the test for the test over x^2-12^r*x-12 where x^(n+1)==-12. I notice that the discriminant is 1+48 == 49 for r=0, i.e a square. Anyway back to the "proof" and...
 Forum: Software 2022-11-11, 23:19 Replies: 12 Views: 1,047 Posted By paulunderwood Fortunately, despite 15 years of growth it has... Fortunately, despite 15 years of growth it has not inside my mouth. Otherwise they would have to extract a tooth and saw trough my jaw in order to remove the tumour. I am looking forward to recovery.
 Forum: Miscellaneous Math 2022-11-11, 09:37 Replies: 22 Views: 1,339 Posted By paulunderwood The pattern broke for +12, with n=20935371731 and... The pattern broke for +12, with n=20935371731 and r=6163, yet gcd(2*r-1,n-1)==145. Testing of -12 is going great guns. Now at n>32,000,000,000, with no output except way points.
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