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A057126
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Numbers n such that 2 is a square mod n.
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15
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1, 2, 7, 14, 17, 23, 31, 34, 41, 46, 47, 49, 62, 71, 73, 79, 82, 89, 94, 97, 98, 103, 113, 119, 127, 137, 142, 146, 151, 158, 161, 167, 178, 191, 193, 194, 199, 206, 217, 223, 226, 233, 238, 239, 241, 254, 257, 263, 271, 274, 281, 287, 289, 302, 311, 313, 322
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OFFSET
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1,2
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COMMENTS
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Numbers that are not multiples of 4 and for which all odd prime factors are congruent to +/- 1 mod 8. - Eric M. Schmidt, Apr 20 2013
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
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MAPLE
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with(numtheory); [seq(mroot(2, 2, p), p=1..300)];
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MATHEMATICA
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ok[n_] := Reduce[ Mod[2 - k^2, n] == 0, k, Integers] =!= False; Prepend[ Select[ Range[400], ok], 1] (* Jean-François Alcover, Sep 20 2012 *)
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CROSSREFS
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Includes the primes in A038873 and these (primes congruent to {1, 2, 7} mod 8) are the prime factors of the terms in this sequence. Cf. A008784, A057125, A057127, A057128, A057129, A057757.
Cf. A087780 (number of solutions mod n).
Sequence in context: A102153 A032537 A072120 * A018349 A018363 A187142
Adjacent sequences: A057123 A057124 A057125 * A057127 A057128 A057129
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley, Aug 10 2000
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EXTENSIONS
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Checked by T. D. Noe, Apr 19 2007
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STATUS
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approved
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