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A195988
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Near-Wieferich primes above 10^9: primes p>10^9 such that 2^((p-1)/2) == +/-1 + A*p (mod p^2) with |A|<=100.
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1
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1222336487, 1259662487, 1274153897, 1494408397, 1584392531, 1586651309, 1662410923, 1817972423, 1890830857, 2062661389, 2244893621, 2332252547, 2416644757, 2461090421, 2566816313, 2570948153, 2589186937, 2709711233, 2760945133
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OFFSET
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1,1
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COMMENTS
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There are many near-Wieferich 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.
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REFERENCES
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R. Crandall, K. Dilcher and C. Pomerance, A search for Wieferich and Wilson primes, Math. Comp., 66 (217), 433-449
J. Knauer and J. Richstein, The continuing search for Wieferich primes, Math. Comp., 74 (251), 1559-1563
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LINKS
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Felix Fröhlich, Table of n, a(n) for n = 1..110
R. McIntosh, E-Mail to Paul Zimmermann
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CROSSREFS
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Sequence in context: A166735 A104933 A119333 * A022250 A211770 A167461
Adjacent sequences: A195985 A195986 A195987 * A195989 A195990 A195991
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KEYWORD
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nonn
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AUTHOR
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Felix Fröhlich, Sep 26 2011
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EXTENSIONS
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Edited by Max Alekseyev, Dec 21 2011
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STATUS
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approved
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