A073652 Primes which occur as the difference of consecutive prime powers >1 as and when they occur.

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.

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: A337150 A280234 A368383 * 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