A076707 Ordered differences without repetitions between two successive prime powers of prime numbers.

1, 2, 3, 4, 5, 10, 12, 16, 17, 18, 30, 38, 41, 46, 54, 72, 74, 94, 120, 128, 138, 139, 168, 186, 199, 240, 248, 250, 260, 271, 286, 288, 312, 316, 354, 356, 370, 408, 424, 432, 496, 546, 552, 582, 600, 602, 618, 678, 720, 768, 792, 836, 840, 876, 890, 894, 912

Offset: 1

Author

Zak Seidov, Oct 26 2002

Keywords

• nonn

Comments

Several entries are represented by at least two differences: 4 (which equals 8-4 & 125-121), 168, 312, 600, 768, 792, 912, 1848, 2472, etc.

Examples

			250 = 161051 - 160801 = 11^5 - 401^2.
		

Crossrefs

Cf. A053810, A075308, A077257, A077258.

Programs

Mathematica

pp = Sort[ Flatten[ Table[ Prime[n]^Prime[i], {n, 1, PrimePi[ Sqrt[10^16]]}, {i, 1, PrimePi[ Floor[ Log[ Prime[n], 10^16]]]}]]]; l = Length[pp]; b = Take[pp, -l + 1] - Take[pp, l - 1]; Take[ Union[a], 57]

Extensions

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