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A084704
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Smallest prime p > prime(n) such that (p+prime(n))/2 is prime.
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7
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7, 17, 19, 23, 61, 29, 43, 59, 53, 43, 97, 53, 79, 59, 89, 83, 73, 79, 107, 181, 127, 131, 113, 109, 113, 151, 167, 193, 149, 151, 167, 197, 163, 197, 163, 229, 199, 179, 281, 347, 241, 263, 229, 257, 223, 271, 331, 239, 313, 269, 263, 313, 263, 269, 359, 293
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OFFSET
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2,1
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COMMENTS
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Subsidiary sequences: (1) Sequence of primes for a given prime p such that (p+q)/2 is a prime iff q belongs to this sequence. E.g. for p = 5 the sequence is 17,29,41,53,89,...
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LINKS
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T. D. Noe, Table of n, a(n) for n = 2..1000
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MATHEMATICA
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Table[p = q = Prime[n]; While[q = NextPrime[q]; ! PrimeQ[(p + q)/2]]; q, {n, 2, 100}] (* T. D. Noe, Apr 20 2011 *)
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CROSSREFS
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Cf. A165138.
Sequence in context: A167797 A001913 A071845 * A198032 A175901 A140566
Adjacent sequences: A084701 A084702 A084703 * A084705 A084706 A084707
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 08 2003
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EXTENSIONS
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More terms from David Wasserman, Jan 03 2005
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STATUS
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approved
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