

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
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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.


LINKS

Table of n, a(n) for n=1..29.


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

Cf. A076047, A077273
Sequence in context: A127885 A006577 A280234 * A277848 A248285 A117029
Adjacent sequences: A073649 A073650 A073651 * A073653 A073654 A073655


KEYWORD

nonn


AUTHOR

Amarnath Murthy, Aug 10 2002


EXTENSIONS

Corrected, extended, and edited by T. D. Noe, Apr 12 2009


STATUS

approved



