Search: id:A108344
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%I A108344
%S A108344 114,1368,1152,232,3336,1872,1206,228,1780,1318,700,1038,3534,6652,192,
%T A108344 1948
%N A108344 Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, 
               the first prime greater than a googol.
%C A108344 Other terms are a(30)=438 and a(45)=354. All values have been proved 
               prime. Primality proof for a(45): PFGW Version 1.2.0 for Windows 
               [FFT v23.8] Primality testing 354*(10^100+267)^45+1 [N-1, Brillhart-Lehmer-Selfridge] 
               Reading factors from helper file help.txt Running N-1 test using 
               base 3 Calling Brillhart-Lehmer-Selfridge with factored part 99.94% 
               354*(10^100+267)^45+1 is prime! (2.5654s+0.0037s)
%Y A108344 Sequence in context: A122279 A126169 A002952 this_sequence A162675 A112485 
               A084877
%Y A108344 Adjacent sequences: A108341 A108342 A108343 this_sequence A108345 A108346 
               A108347
%K A108344 more,nonn
%O A108344 1,1
%A A108344 Jason Earls (zevi_35711(AT)yahoo.com), Jul 01 2005

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