login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Ordered differences without repetitions between two successive prime powers of prime numbers.
2

%I #5 Mar 30 2012 17:30:50

%S 1,2,3,4,5,10,12,16,17,18,30,38,41,46,54,72,74,94,120,128,138,139,168,

%T 186,199,240,248,250,260,271,286,288,312,316,354,356,370,408,424,432,

%U 496,546,552,582,600,602,618,678,720,768,792,836,840,876,890,894,912

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

%C 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.

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

%t 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]

%Y Cf. A053810, A075308, A077257, A077258.

%K nonn

%O 1,2

%A _Zak Seidov_, Oct 26 2002

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