A076706 Primes which are the difference between two successive prime powers of prime numbers.
2, 3, 5, 17, 41, 139, 199, 271, 1217, 3617, 4001, 4241, 117017, 746153, 137542193
Offset: 1
Keywords
Examples
3 = 128 - 125 = 2^7 - 5^3; 4241 = 528529 - 524288 = 727^2 - 2^19.
Programs
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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]
Extensions
Edited and extended by Robert G. Wilson v, Oct 31 2002