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Search: id:A065871
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| A065871 |
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Usigma(n) +1 is a prime. |
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+0
1
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| 1, 3, 5, 6, 9, 10, 11, 17, 18, 20, 22, 24, 26, 27, 28, 29, 30, 38, 41, 42, 44, 45, 46, 50, 51, 52, 55, 56, 59, 62, 69, 71, 76, 77, 80, 81, 82, 85, 88, 90, 91, 98, 100, 101, 104, 105, 106, 107, 112, 114, 116, 118, 125, 126, 132, 136, 137, 140, 141, 145, 146, 148, 149
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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MATHEMATICA
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f[n_] := Block[ {a = FactorInteger[n], k = l = s = 1}, l = Length[a]; While[k <= l, s = s * (a[[k, 1]]^a[[k, 2]] + 1); k++ ]; Return[s]]; Select[ Range[200], PrimeQ[ f[ # ] + 1] & ]
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PROGRAM
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(PARI) usigma(n)= { local(f, s=1); f=factor(n); for(i=1, matsize(f)[1], s*=1 + f[i, 1]^f[i, 2]); return(s) } { n=0; for (m=1, 10^9, if (isprime(usigma(m) + 1), write("b065871.txt", n++, " ", m); if (n==1000, return)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Nov 02 2009]
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CROSSREFS
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Cf. A034448.
Sequence in context: A056875 A087757 A088359 this_sequence A128291 A081121 A165740
Adjacent sequences: A065868 A065869 A065870 this_sequence A065872 A065873 A065874
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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), Dec 07 2001
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