A108375 Least positive k such that k * [RSA-200]^n - 1 is prime, where RSA-200 is defined in the Wikinews link.

356, 810, 1364, 1188, 1490, 4178, 164, 11312, 26, 4058, 11234, 3398, 278, 4530, 2804, 7248, 14544, 942, 3504, 4704, 21194, 2708, 14636, 3222, 6990, 948, 48260, 4974, 6636, 10646, 12062, 4944, 28296, 7302, 89264, 2814, 35396, 8688, 19166, 18744

Offset: 1

Author

Jason Earls, Jul 02 2005

Keywords

• nonn

Comments

Another term is a(51)=854. All values have been proved prime. Primality proof for a(51), which has 10175 digits: PFGW Version 1.2.0 for Windows [FFT v23.8] Primality testing 854*(279978 ... [digits deleted] ... 823983)^51-1 [N+1, Brillhart-Lehmer-Selfridge] Reading factors from helper file help.txt Running N+1 test using discriminant 5, base 4+sqrt(5) Calling Brillhart-Lehmer-Selfridge with factored part 50.07% 854*(279978 ... [digits deleted] ... 823983)^51-1 is prime! (68.4205s+0.0510s) ======== Also, the Primeform e-group found 25987968300*[RSA-200]^512-1 and 49334180280*[RSA-200]^512-1, each with 102128 digits (see link).

Links

• Chris Caldwell, Primeform e-group bio.
• Wikinews, 200 Digit Number Factored.

Extensions

a(12)-a(40) from Max Alekseyev, Feb 02 2010