... Here is some data, from ABC2 p($b)#/p($a)#-p($a)# || p($b)#/p($a)#+p($a)# a: from 2500 to 3000 b: from 5000 to 5100 Number of trials: 2*501*101 = 101,202 ...
Last year I have started a search for AP21 with difference k*37#, k<=40. I used 15*PentiumD805(64bits/2threads)+14*Athlon64 +30*Athlon2500+15*Duron900 I had to...
... Congratulations again! http://hjem.get2net.dk/jka/math/aprecords.htm is updated with the largest known AP21. That was fast to start the news section for...
... Well found! It is amusing to note at http://www.primenumbers.net/prptop/prptop.php?page=40#haut that the PRP in the cut-off position with Rank precisely...
... One of the 90 looked a little odd, under BLS: Primality testing p(5039)#/p(2825)#-p(2825)# [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using...
... Hello and Happy New Year One can also use OpenPFGW for that: ABC2 gcd( $a,3*2^(5010867096238080%($a-1))+1) a:primes from 5 to 100000000 and check if there...
... http://www.primenumbers.net/prptop/prptop.php?page=40#haut ... But you can visit the baby gigantics at any time by making page=41, page=42, page=43 and so...
Newpgen seems to be able to process this number. Use k.b^n+1 with fixed k and set b=2, k=3, nmin=nmax=5010867096238080. It can sieve several billion factors...
... CPAPs and APs are not directly comparable. ... I thought I had that record at one point (2002-ish perhaps). I have no idea what it was. Does anyone...
... That rings a bell, Phil. When I saw Michael Bell's http://primes.utm.edu/primes/page.php?id=37786 I mumbled something about not being able to determine...
... I've found them - it seems they were a private correspondence with another semi-regular here, and the results seemed to never make it back on list. I have...
... Once Jens has decided to allow AP-k with predetermined difference as simultaneous primes and once he decided to allow a set of 3 valid differences, the...
... taste. ... difference, ... There are four I know of -- but I am asking Markus if he has any more: http://www.primepuzzles.net/puzzles/puzz_268.htm Paul...
... Brain's very foggy. I can't work out what my error was back then, the expressions way back certainly look like my expressions a while back. Here's my...
... Now I got even a smaller difference: 20736372344841161 + 5*19#*n, n=0..19 Note that this is an AP20. Thanks for the info about 4th AP23, Paul. Jarek...
... Both! For archival purposes: as Jens does not want to host this pretty maximal 3-Carmichael constellation, you could ask Carlos to append your best one to ...
... Looking also to restrict the b=3,6,12 cases, it should be possible to define b such that no new prime factor is introduced at b=2, and only one prime...
... Theorem: There is no b in the interval [2^2,2^999] that satisfies these conditions. 1) For b^6+1, it is better to use Phi(12,b) = b^4 - b^2 + 1 2) The...
... David Thank you for your elegant work. No wonder 3 is such a bitch to find a small covering set. If we were to relax the requirement b^2-1 does not...
... Aiaiai, doing further research on this shows that, in the primenumbers group the following got posted, 20 times smaller than my value: The minimal k with...
... Not easily. There is no b in [8,10^6] for which we get no more than one new prime for each of Phi(k,b) with k in [2,3,4,6,8,12]. If we relax the k=12...
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