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.
%I A138323 #17 Jan 18 2025 16:31:20
%S A138323 8,251,78376,1977405119,34524689549050,8650450444070886983,
%T A138323 239081086135595395734136,257829867026393862843621801395
%N A138323 a(n) = Sum_{k = 1..n} prime(k)^prime(k + 1).
%H A138323 Harvey P. Dale, <a href="/A138323/b138323.txt">Table of n, a(n) for n = 1..75</a>
%e A138323 2^3=8
%e A138323 2^3+3^5=8+243=251
%e A138323 2^3+3^5+5^7=8+243+78125=78376
%t A138323 P3[n_] := Sum[Prime[i]^Prime[i + 1], {i, 1, n}]; Table[P3[n], {n, 1, 8}]
%t A138323 Accumulate[#[[1]]^#[[2]]&/@Partition[Prime[Range[10]],2,1]] (* _Harvey P. Dale_, Jan 18 2025 *)
%o A138323 (PARI) a(n) = sum(k=1, n, prime(k)^prime(k+1)); \\ _Michel Marcus_, Jan 25 2016
%Y A138323 Cf. A051674, A053089, A074745.
%K A138323 nonn
%O A138323 1,1
%A A138323 _Vladimir Joseph Stephan Orlovsky_, May 07 2008