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Search: id:A085013
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| A085013 |
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a(1) = 1; for n>1, a(n) = smallest prime > a(n-1) such that a(1)*...*a(n) + 2 is a prime. |
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+0
4
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| 1, 3, 5, 7, 13, 23, 29, 37, 43, 61, 73, 89, 137, 151, 167, 199, 269, 383, 397, 521, 619, 659, 739, 1217, 1307, 1613, 1741, 1847, 1873, 2039, 2473, 2521, 2531, 3011, 3391, 3637, 3793, 4201, 4751, 5039, 5879, 6299, 7307, 7829, 8243, 8933, 9781, 9829, 10069
(list; graph; listen)
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OFFSET
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1,2
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MATHEMATICA
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a[1] = 1; a[n_] := a[n] = Block[{k = a[n - 1] + 2}, While[ !PrimeQ[k] || ! PrimeQ[ k * Times @@ Table[ a[i], {i, 1, n - 1}] + 2], k += 2]; k]; Table[ a[n], {n, 1, 49}]
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CROSSREFS
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Cf. A083566.
Sequence in context: A060274 A005235 A107664 this_sequence A164939 A125272 A127443
Adjacent sequences: A085010 A085011 A085012 this_sequence A085014 A085015 A085016
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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), Jun 17 2003
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