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Search: id:A057676
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| A057676 |
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Smallest prime q(n) such that -q(n)+2^p(n) is a prime, where p(n) = n-th prime. |
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1
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| 2, 3, 3, 19, 19, 13, 13, 19, 37, 3, 19, 31, 31, 67, 127, 379, 607, 31, 19, 577, 181, 67, 97, 31, 349, 619, 97, 919, 31, 211, 577, 181, 13, 397, 31, 829, 19, 577, 577, 103, 1669, 199, 19, 31, 439, 1021, 601, 1621, 2017, 733, 3, 199, 2113, 619, 1861, 1297, 241, 967
(list; graph; listen)
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OFFSET
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0,1
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EXAMPLE
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n = 4, p(4) = 11, 2^11 = 2048, p2 = 2048-p1 is satisfied at first with prime p1 = 19 resulting in prime p2 = 2029, so q(4) = 19. n = 31, p(31) = 127, p2 = 2^127-p1 is satisfied first with p1 = 577 and p2 = 170141183460469231731687303715884105151 So q(31) = 577, the 106-th prime.
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CROSSREFS
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Cf. A057662, A056206, A056208.
Sequence in context: A090524 A090522 A114728 this_sequence A062168 A019229 A135353
Adjacent sequences: A057673 A057674 A057675 this_sequence A057677 A057678 A057679
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Oct 19 2000
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