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A076706 Primes which are the difference between two successive prime powers of prime numbers. 0
2, 3, 5, 17, 41, 139, 199, 271, 1217, 3617, 4001, 4241, 117017, 746153, 137542193 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..15.

EXAMPLE

3 = 128 - 125 = 2^7 - 5^3; 4241 = 528529 - 524288 = 727^2 - 2^19.

MATHEMATICA

pp = Sort[ Flatten[ Table[ Prime[n]^Prime[i], {n, 1, PrimePi[ Sqrt[10^16]]}, {i, 1, PrimePi[ Floor[ Log[ Prime[n], 10^16]]]}]]]; a = {}; Do[ If[ PrimeQ[ pp[[n + 1]] - pp[[n]]], a = Append[a, pp[[n + 1]] - pp[[n]]]], {n, 1, Length[pp] - 1}]; Union[a]

CROSSREFS

Cf. A053810, A075308.

Sequence in context: A270539 A053182 A211972 * A243441 A256426 A019350

Adjacent sequences:  A076703 A076704 A076705 * A076707 A076708 A076709

KEYWORD

nonn

AUTHOR

Zak Seidov, Oct 26 2002

EXTENSIONS

Edited and extended by Robert G. Wilson v, Oct 31 2002

STATUS

approved

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Last modified March 20 05:17 EDT 2019. Contains 321344 sequences. (Running on oeis4.)