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Search: id:A090968
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| A090968 |
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Primes p such that p^2 divides 19^(p-1) - 1. |
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+0
5
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OFFSET
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1,1
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COMMENT
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Primes p such that p divides the Fermat quotient of p (with base 19). The Fermat quotient of p with base a denotes the integer q_p(a) = ( a^(p-1) - 1) / p, where p is a prime which does not divide the integer a. - C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 20 2005
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REFERENCES
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Paulo Ribenboim, "The Little Book Of Big Primes," Springer-Verlag, NY 1991, page 170.
J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 43, p. 17, Ellipses, Paris 2008.
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LINKS
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C. Caldwell, Fermat quotient
W. Keller and J. Richstein FermatQuotient
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MATHEMATICA
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NextPrim[n_] := Block[{k = n + 1}, While[ !PrimeQ[k], k++ ]; k]; p = 1; Do[ p = NextPrim[p]; If[PowerMod[19, p - 1, p^2] == 1, Print[p]], {n, 1, 2*10^8}]
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CROSSREFS
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Cf. A001220.
Adjacent sequences: A090965 A090966 A090967 this_sequence A090969 A090970 A090971
Sequence in context: A051842 A062605 A086208 this_sequence A020641 A062736 A103564
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 27 2004
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