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A073652
Primes which occur as the difference of consecutive prime powers >1 as and when they occur.
0
7, 2, 5, 17, 17, 3, 41, 13, 151, 17, 307, 199, 139, 271, 1217, 7, 751, 3617, 4241, 3343, 4001, 97169, 40841, 117017, 746153, 203897, 137542193, 256534591, 123090449
OFFSET
1,1
COMMENTS
Conjecture: Every prime is a member.
These are the prime terms of A053707 in the order that they are found. Odd primes will be found only when one of the consecutive powers is a power of 2.
EXAMPLE
41 is a member with 41 = 13^2- 2^7.
MATHEMATICA
t = {}; Do[If[! PrimeQ[n] && PrimePowerQ[n], AppendTo[t, n]], {n, 3000000}]; Select[Differences[t], PrimeQ] (* Jayanta Basu, Jul 04 2013 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Aug 10 2002
EXTENSIONS
Corrected, extended, and edited by T. D. Noe, Apr 12 2009
STATUS
approved