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 A072669 Primes of the form prime(x) + prime(x+1) - 1. 16
 7, 11, 17, 23, 29, 41, 59, 67, 83, 89, 127, 137, 151, 197, 239, 257, 307, 359, 383, 389, 409, 433, 449, 461, 479, 491, 547, 557, 563, 599, 617, 647, 683, 701, 739, 751, 761, 797, 809, 827, 839, 863, 881, 929, 977, 1063, 1087, 1103, 1163, 1229, 1249, 1283, 1289, 1319, 1373 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Consider m such that prime(m) + prime(m+1) = prime(k) + 1 for some k; sequence gives prime(k). A118072 is a subsequence, hence this sequence is infinite on Dickson's conjecture. - Charles R Greathouse IV, Apr 18 2013 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 MATHEMATICA f[n_] := Prime[n] + Prime[n + 1] - 1; f[ # ] & /@ Select[ Range[120], PrimeQ[ f[ # ]] &] (* Robert G. Wilson v, Apr 14 2004 *) Select[Total[#]-1&/@Partition[Prime[Range[200]], 2, 1], PrimeQ] (* Harvey P. Dale, Aug 06 2012 *) PROG (PARI) p=2; forprime(q=3, 1e6, if(isprime(p+q-1), print1(p+q-1", ")); p=q) \\ Charles R Greathouse IV, Apr 18 2013 CROSSREFS Cf. A001043, A092738, A072666, A072667. Sequence in context: A299978 A131229 A092737 * A108101 A158350 A048203 Adjacent sequences: A072666 A072667 A072668 * A072670 A072671 A072672 KEYWORD nonn,easy AUTHOR Herman H. Rosenfeld (herm3(AT)pacbell.net), Aug 12 2002 EXTENSIONS Definition reworded by Jorge Coveiro, Apr 12 2004 Edited by N. J. A. Sloane, Sep 14 2008 at the suggestion of R. J. Mathar STATUS approved

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Last modified September 26 08:38 EDT 2023. Contains 365654 sequences. (Running on oeis4.)