

A057440


Numbers n such that n*M127 + 1 is prime, where M127 = 2^127  1.


2



114, 124, 388, 408, 498, 696, 738, 774, 780, 934, 978, 1104, 1156, 1176, 1216, 1278, 1368, 1480, 1578, 1680, 1698, 1710, 1740, 1794, 1806, 1864, 1950, 2188, 2268, 2320, 2334, 2476, 2608, 2646, 2784, 2808, 2950, 3216, 3274, 3288, 3388, 3484, 3768, 4020
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OFFSET

1,1


COMMENTS

In 1951 Miller and Wheeler found the primes k*M127 + 1 for k = 114, 124, 388, 408, 498, 696, 738, 744, 780, 934 and 978. These were some of the earliest primes found by electronic computers.
All terms so far are == {0, 4} (mod 6) == {0, 4, 6, 10, 16, 18, 24, 28} (mod 30).  Robert G. Wilson v, Nov 28 2020


LINKS



MATHEMATICA

Select[ Range@ 10000], PrimeQ[ #(2^127  1) + 1] &]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



