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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 25 16:16 EDT 2017. Contains 292499 sequences.