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A031932
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Lower prime of a pair of consecutive primes having a difference of 14.
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14
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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
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1,1
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COMMENTS
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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
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LINKS
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MATHEMATICA
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Transpose[Select[Partition[Prime[Range[1000]], 2, 1], Last[#]-First[#] == 14&]] [[1]] (* Harvey P. Dale, Aug 24 2012 *)
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PROG
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(Magma) [p: p in PrimesUpTo(8000) | NextPrime(p)-p eq 14]; // Bruno Berselli, Apr 09 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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