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Search: id:A105411
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| A105411 |
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Numbers p(n) such that both p(n)+2 and p(n+4)-2 are prime numbers, where p(n) is the n-th prime number (A000040(n)). |
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+0
1
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| 3, 17, 29, 59, 227, 269, 617, 1031, 1277, 1289, 1301, 1607, 1667, 1697, 2087, 2129, 2309, 2711, 2789, 3257, 3527, 3539, 3557, 3917, 4019, 4241, 4517, 4637, 4787, 5477, 5501, 5639, 6551, 7307, 8819, 8837, 8999, 9011, 10037, 10067, 10271, 10499, 12041
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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p(8) = 17, p(8+3) = 29, both prime.
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MATHEMATICA
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For[n = 1, n < 500, n++, If[PrimeQ[Prime[n] + 2], If[PrimeQ[Prime[n + 4] - 2], Print[Prime[n]]]]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 07 2006
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PROGRAM
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(PARI) pnpk(n, m, k) = \ both are prime { local(x, l1, l2, v1, v2); for(x=1, n, v1 = prime(x)+ k; v2 = prime(x+m)+k; if(isprime(v1)&isprime(v2), \ print1(x", ") print1(v1", ") ) ) }
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CROSSREFS
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Adjacent sequences: A105408 A105409 A105410 this_sequence A105412 A105413 A105414
Sequence in context: A007490 A022887 A063715 this_sequence A107158 A126782 A090648
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KEYWORD
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nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), May 02 2005
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