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A157437
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Primes p that divide A085606((p-1)/2) = ((p-1)/2-1)^(p-1)/2 - 1.
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2
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5, 7, 11, 29, 31, 53, 59, 73, 79, 83, 97, 101, 103, 107, 127, 131, 149, 151, 173, 179, 193, 197, 199, 223, 227, 241, 251, 269, 271, 293, 313, 317, 337, 347, 367, 389, 409, 419, 433, 439, 443, 457, 461, 463, 467, 487, 491, 509, 557, 563, 577, 587, 601, 607, 631
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Primes p such that p^2 divide A085606((p-1)/2) are listed in A157438 = {5,127,607}.
Primes p>3 such -6 is a square modulo p. Also, primes such that p modulo 24 is 1, 5, 7, or 11. [From Max Alekseyev (maxale(AT)gmail.com), May 30 2009]
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MATHEMATICA
| Select[Prime[Range[200]], JacobiSymbol[#, 6] == 1 &] (* T. D. Noe, Aug 17 2011 *)
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CROSSREFS
| Cf. A085606 = (n-1)^n - 1. Cf. A157438.
Sequence in context: A036490 A106330 A057247 * A031134 A144231 A050299
Adjacent sequences: A157434 A157435 A157436 * A157438 A157439 A157440
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KEYWORD
| nonn
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AUTHOR
| Alexander Adamchuk (alex(AT)kolmogorov.com), Mar 01 2009
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EXTENSIONS
| Extended by Max Alekseyev (maxale(AT)gmail.com), May 30 2009
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