

A195988


NearWieferich primes above 10^9: primes p>10^9 such that 2^((p1)/2) == +/1 + A*p (mod p^2) with A<=100.


3



1222336487, 1259662487, 1274153897, 1494408397, 1584392531, 1586651309, 1662410923, 1817972423, 1890830857, 2062661389, 2244893621, 2332252547, 2416644757, 2461090421, 2566816313, 2570948153, 2589186937, 2709711233, 2760945133
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OFFSET

1,1


COMMENTS

There are many nearWieferich primes below 10^9 (including Wieferich primes 1093 and 3511). However, Crandall, Dilcher and Pomerance searched and reported such primes in the interval [10^9,4*10^12].
The choice of upper bound for A is rather arbitrary.


LINKS

Felix Fröhlich, Table of n, a(n) for n = 1..110
R. Crandall, K. Dilcher and C. Pomerance, A search for Wieferich and Wilson primes, Math. Comp. Vol. 66, Num. 217 (1997), 433449.
J. Knauer and J. Richstein, The continuing search for Wieferich primes, Math. Comp. Vol. 74, Num. 251 (2005), 15591563.
R. McIntosh, EMail to Paul Zimmermann


CROSSREFS

Sequence in context: A166735 A104933 A119333 * A022250 A211770 A167461
Adjacent sequences: A195985 A195986 A195987 * A195989 A195990 A195991


KEYWORD

nonn,changed


AUTHOR

Felix Fröhlich, Sep 26 2011


EXTENSIONS

Edited by Max Alekseyev, Dec 21 2011


STATUS

approved



