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A073024
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Primes p such that p-1 has a prime factor q > p^(2/3).
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3
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11, 23, 47, 59, 83, 107, 149, 167, 173, 179, 223, 227, 263, 269, 283, 293, 317, 347, 359, 367, 383, 389, 439, 467, 479, 499, 503, 509, 557, 563, 569, 587, 607, 619, 643, 653, 719, 773, 787, 797, 809, 823, 839, 857, 863, 887, 907, 983, 1019, 1031, 1039, 1049, 1087, 1091
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OFFSET
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1,1
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COMMENTS
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Etienne Fouvry showed that a positive fraction of all primes have this property.
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REFERENCES
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Etienne Fouvry, Theoreme de Brun-Titchmarsh: application au theoreme de Fermat, Invent. Math. 79 (1985), no. 2, 383-407.
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LINKS
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Charles R Greathouse IV, Table of n, a(n) for n=1,...,27449.
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MAPLE
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with(numtheory); a := []; for i from 2 to 1000 do p := ithprime(i); t1 := factorset(p-1); q := t1[nops(t1)]; if q^3 > p^2 then a := [op(a), p]; fi; od:
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CROSSREFS
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Cf. A005384, A005385, A073025, A073026.
Sequence in context: A198588 A068231 A185005 * A161897 A145994 A217047
Adjacent sequences: A073021 A073022 A073023 * A073025 A073026 A073027
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KEYWORD
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nonn,changed
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AUTHOR
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N. J. A. Sloane, Aug 23 2002
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STATUS
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approved
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