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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 [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)

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

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Last modified August 22 11:34 EDT 2019. Contains 326176 sequences. (Running on oeis4.)