A076706 - OEIS

%I #6 Mar 30 2012 17:30:50

%S 2,3,5,17,41,139,199,271,1217,3617,4001,4241,117017,746153,137542193

%N Primes which are the difference between two successive prime powers of prime numbers.

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

%t 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]

%Y Cf. A053810, A075308.

%K nonn

%O 1,1

%A _Zak Seidov_, Oct 26 2002

%E Edited and extended by _Robert G. Wilson v_, Oct 31 2002