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 A031932 Lower prime of a pair of consecutive primes having a difference of 14. 12
 113, 293, 317, 773, 839, 863, 953, 1409, 1583, 1847, 2039, 2357, 2423, 2633, 2753, 2819, 2939, 3023, 3593, 3677, 3779, 3833, 3863, 4139, 4493, 4817, 4889, 4973, 5153, 5309, 5333, 5669, 5939, 6053, 6719, 7043, 7193, 7283, 7607, 7703 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Conjecture: The sequence is infinite and for every n, a(n+1) < a(n)^(1+1/n); i.e., a(n)^(1/n) is a strictly decreasing function of n (see comment lines of the sequence A248855). - Jahangeer Kholdi and Farideh Firoozbakht, Nov 29 2014 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 MATHEMATICA Transpose[Select[Partition[Prime[Range[1000]], 2, 1], Last[#]-First[#] == 14&]] [[1]] (* Harvey P. Dale, Aug 24 2012 *) PROG (MAGMA) [p: p in PrimesUpTo(8000) | NextPrime(p)-p eq 14]; // Bruno Berselli, Apr 09 2013 (PARI) is(n)=isprime(n) && nextprime(n+1)==n+14 \\ Charles R Greathouse IV, Sep 14 2015 CROSSREFS Subsequence of A124586. Cf. A248855. Sequence in context: A059331 A124586 A051110 * A216310 A211445 A172983 Adjacent sequences:  A031929 A031930 A031931 * A031933 A031934 A031935 KEYWORD nonn AUTHOR STATUS approved

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Last modified October 16 01:33 EDT 2019. Contains 328038 sequences. (Running on oeis4.)