A320705 -id:A320705 - cp's OEIS frontend

A031932 Lower prime of a pair of consecutive primes having a difference of 14.

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

Offset: 1

Jeff Burch

nonn

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

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
Index entries for primes, gaps between

Subsequence of A124586.

Cf. A248855.

[p: p in PrimesUpTo(8000) | NextPrime(p)-p eq 14]; // Bruno Berselli, Apr 09 2013

Transpose[Select[Partition[Prime[Range[1000]],2,1],Last[#]-First[#] == 14&]] [[1]] (* Harvey P. Dale, Aug 24 2012 *)

is(n)=isprime(n) && nextprime(n+1)==n+14 \\ Charles R Greathouse IV, Sep 14 2015

a(n) = prime(A320705(n)). - R. J. Mathar, Apr 30 2024

cp's OEIS Frontend

A031932 Lower prime of a pair of consecutive primes having a difference of 14.

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