http://tech.groups.yahoo.com/group/primenumbers/ Prime numbers and primality testing Sat, 05 Jul 2008 02:55:09 GMT Mark Underwood http://tech.groups.yahoo.com/group/primenumbers/message/19475 http://tech.groups.yahoo.com/group/primenumbers/message/19475 ... If it is true, I await the elementary version, hehe. About the only line of mathematics which I comprehended was on page 35 where it said: Thu, 03 Jul 2008 17:58:06 GMT scolnik@... http://tech.groups.yahoo.com/group/primenumbers/message/19473 http://tech.groups.yahoo.com/group/primenumbers/message/19473 http://arxiv.org/PS_cache/arxiv/pdf/0807/0807.0090v3.pdf Hugo Scolnik A professor is one who talks in someone else's sleep. [Non-text portions of this message Thu, 03 Jul 2008 15:28:43 GMT jarek372000 http://tech.groups.yahoo.com/group/primenumbers/message/19472 http://tech.groups.yahoo.com/group/primenumbers/message/19472 Raanan continues running my program aimed at AP22 with difference divisible by 37# and here is another record: 126599504321565949 + 912*37#*n, n=0..21 (Raanan Mon, 30 Jun 2008 18:08:17 GMT jaroslaw.wroblewski@... http://tech.groups.yahoo.com/group/primenumbers/message/19470 http://tech.groups.yahoo.com/group/primenumbers/message/19470 I have found the first SP19 (also SP20) over 2^64 19316011345882272017 + 29#*n, n=0..19 In fact I was very lucky again. The above is the only sequence longer Mon, 30 Jun 2008 06:26:22 GMT jaroslaw.wroblewski@... http://tech.groups.yahoo.com/group/primenumbers/message/19469 http://tech.groups.yahoo.com/group/primenumbers/message/19469 Another improvement to SP19 17196286091474921689 + 29#*n, n=0..18 Jarek Sun, 29 Jun 2008 19:47:55 GMT jarek372000 http://tech.groups.yahoo.com/group/primenumbers/message/19468 http://tech.groups.yahoo.com/group/primenumbers/message/19468 Yet another improvement of SP19: 14275160661224928539 + 29#*n, n=0..18 Jarek Sun, 29 Jun 2008 14:02:08 GMT jaroslaw.wroblewski@... http://tech.groups.yahoo.com/group/primenumbers/message/19467 http://tech.groups.yahoo.com/group/primenumbers/message/19467 Just a moment ago I got yet another improvement of SP19: 12167225693277514633 + 29#*n, n=0..18 Jarek Sun, 29 Jun 2008 12:57:51 GMT Jens Kruse Andersen http://tech.groups.yahoo.com/group/primenumbers/message/19466 http://tech.groups.yahoo.com/group/primenumbers/message/19466 ... Congrats. http://hjem.get2net.dk/jka/math/aprecords.htm and http://hjem.get2net.dk/jka/math/simultprime.htm are updated. -- Jens Kruse Andersen Sun, 29 Jun 2008 10:54:26 GMT jarek372000 http://tech.groups.yahoo.com/group/primenumbers/message/19465 http://tech.groups.yahoo.com/group/primenumbers/message/19465 I have found another improvement of the 19 Simultaneous Primes record (AP19 with difference #29): 11794878875045456989 + 29#*n, n=0..18 Jarek Sun, 29 Jun 2008 08:05:36 GMT jarek372000 http://tech.groups.yahoo.com/group/primenumbers/message/19464 http://tech.groups.yahoo.com/group/primenumbers/message/19464 Raanan is running my program aimed at AP22 with difference divisible by 37# and here is the first record: 32392290909421589 + 905*37#*n, for n=0...21 (Raanan Sat, 28 Jun 2008 23:44:17 GMT Jens Kruse Andersen http://tech.groups.yahoo.com/group/primenumbers/message/19463 http://tech.groups.yahoo.com/group/primenumbers/message/19463 ... Congratulations again! 20 20-digit primes in that time is amazing. The records are updated. -- Jens Kruse Andersen Sat, 28 Jun 2008 18:27:22 GMT Kermit Rose http://tech.groups.yahoo.com/group/primenumbers/message/19462 http://tech.groups.yahoo.com/group/primenumbers/message/19462 I wrote a function subroutine in Python to calculate the k th prime, given a positive integer k. ... 29 ... 541 ... 7919 ... 17389 ... 27449 ... 37813 ... Sat, 28 Jun 2008 03:30:48 GMT jarek372000 http://tech.groups.yahoo.com/group/primenumbers/message/19461 http://tech.groups.yahoo.com/group/primenumbers/message/19461 After discovering new SP19 earlier today I have moved to a slightly higher range. After less than 1 hour run of 30 comps I had 2 AP's longer than 15, namely Sat, 28 Jun 2008 02:34:23 GMT jarek372000 http://tech.groups.yahoo.com/group/primenumbers/message/19460 http://tech.groups.yahoo.com/group/primenumbers/message/19460 I have found another improvement to 19 Simultaneous Primes record (AP19 with difference #29): 8463643902010505569 + 29#*n, n=0..18 Jarek Fri, 27 Jun 2008 16:27:06 GMT Jens Kruse Andersen http://tech.groups.yahoo.com/group/primenumbers/message/19459 http://tech.groups.yahoo.com/group/primenumbers/message/19459 ... Congratulations! With you on the loose, maybe there should be hours and minutes in http://hjem.get2net.dk/jka/math/simultprime.htm#news I'm listing