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Search: id:A115786
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| A115786 |
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Smallest prime number p such that p + p(1)#, p + p(2)#, ..., p + p(n)# are all prime, where p(i)# is the primorial of the i-th prime (A002110(i)). |
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+0
2
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| 3, 5, 11, 17, 41, 41, 41, 41, 86351, 86351, 235313357, 729457511, 99445156397, 818113387907, 7986903815771, 29065965967667
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Subset of A001359 (lesser of twin primes).
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EXAMPLE
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a(11) = 235313357 because 235313357, 235313357 + 2, 235313357 + 2*3, 235313357 + 2*3*5, ..., and 235313357 + 2*3*5*7*11*13*17*19*23*29*31 are all prime and there is no smaller prime with this property.
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CROSSREFS
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Cf. A001359, A002110, A115785 (for p - p(i)#).
Sequence in context: A125557 A007455 A034729 this_sequence A128550 A096479 A129809
Adjacent sequences: A115783 A115784 A115785 this_sequence A115787 A115788 A115789
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KEYWORD
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more,nonn
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AUTHOR
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Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jan 31 2006
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EXTENSIONS
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a(12) from Don Reble (djr(AT)nk.ca), Feb 15 2006
More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Feb 28 2006
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