cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A077258 Least number which can be represented by the difference between two successive prime powers of prime numbers (A076707) in exactly n ways.

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%I A077258 #8 May 13 2025 17:08:35
%S A077258 1,4,6888,4920,187117320
%N A077258 Least number which can be represented by the difference between two successive prime powers of prime numbers (A076707) in exactly n ways.
%e A077258 1 = 9-8, 4 = 8-4 & 125-121, 6888 = 332929 - 326041 = 744769 - 737881 = 2968729 - 2961841, 4920 = 44521 - 39601 = 63001 - 58081 = 380689 - 375769 = 1515361 - 1510441 and
%e A077258 187117320 = 9725896737769 - 9725709620449 = 21883150711249 - 21882963593929 = 60786363426721 - 60786176309401 = 243145173030769 - 243144985913449 = 2188305808807561 - 2188305621690241.
%t A077258 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 = Sort[ Take[pp, -l + 1] - Take[pp, l - 1]];
%Y A077258 Cf. A053810, A075308, A076707, A077257.
%K A077258 more,nonn
%O A077258 1,2
%A A077258 _Zak Seidov_ and _Robert G. Wilson v_, Oct 31 2002