

A031932


Lower prime of a pair of consecutive primes having a difference of 14.


10



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
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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
Index entries for primes, gaps between


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

Jeff Burch


STATUS

approved



