From owner-nmbrthry@LISTSERV.NODAK.EDU Sat Oct 21 12:28 PDT 2000 Approved-By: "Victor S. Miller" Date: Sat, 21 Oct 2000 15:28:03 -0400 From: Marcel Martin Subject: New ECPP record To: NMBRTHRY@LISTSERV.NODAK.EDU (30^1789 - 1)/29 is prime. The certification of this generalized repunit, performed by Giovanni and Marco La Barbera, took 837 hours using the Titanix program on a PC with an INTEL Pentium III 800 MHz processor. It took 11 hours (AMD 450 MHz) to check the primality certificate. With its 2642 decimal digits, (30^1789 - 1)/29 is the new ECPP algorithm record. The previous one, 2196 digits was established in 1998 by F.Morain and E. Mayer with Morain's ECPP program. Marcel Martin ____________________ The primality certificate of (30^1789-1)/29 can be found (as zipped text file) at http://www.znz.freesurf.fr/files/ecpprec.zip (837 Kb) Titanix (executable for W95/W98/W2K/NT4, hardware Intel compatible) can be found at http://www.znz.freesurf.fr/files/titanix.zip (698 Kb)