

A108344


Least positive k such that k * Z^n + 1 is prime, where Z = 10^100+267, the first prime greater than a googol.


1



114, 1368, 1152, 232, 3336, 1872, 1206, 228, 1780, 1318, 700, 1038, 3534, 6652, 192, 1948
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

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 [N1, BrillhartLehmerSelfridge] Reading factors from helper file help.txt Running N1 test using base 3 Calling BrillhartLehmerSelfridge with factored part 99.94% 354*(10^100+267)^45+1 is prime! (2.5654s+0.0037s)


LINKS

Table of n, a(n) for n=1..16.


CROSSREFS

Sequence in context: A002952 A296403 A262416 * A200551 A230464 A200891
Adjacent sequences: A108341 A108342 A108343 * A108345 A108346 A108347


KEYWORD

more,nonn


AUTHOR

Jason Earls, Jul 01 2005


STATUS

approved



