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Search: id:A088415
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| A088415 |
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Primes p = prime(i) such that p(i)# - p(i+1) or p(i)# + p(i+1) or both are primes. |
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+0
4
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| 2, 3, 5, 7, 11, 13, 17, 19, 43, 53, 59, 73, 79, 83, 89, 149, 367, 431, 853, 4007, 6143, 8819, 8969
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Dario Alejandro Alpern, Factorization using the Elliptic Curve Method.
Hisanori Mishima, PI Pn + NextPrime (n = 1 to 100).
Hisanori Mishima, PI Pn - NextPrime (n = 1 to 100).
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EXAMPLE
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3=p(2) is in the sequence because p(2)# + p(3) = 11 is prime.
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MATHEMATICA
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Do[ p = Product[Prime[i], {i, 1, n}]; q = Prime[n + 1]; If[ PrimeQ[p - q] || PrimeQ[p + q], Print[ Prime[n]]], {n, 1, 1435}]
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CROSSREFS
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Cf. A087714.
Sequence in context: A069709 A144755 A069090 this_sequence A139054 A003309 A063884
Adjacent sequences: A088412 A088413 A088414 this_sequence A088416 A088417 A088418
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KEYWORD
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hard,more,nonn
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AUTHOR
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Ray Chandler (rayjchandler(AT)sbcglobal.net), Oct 05 2003
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 17 2003
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