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.

A236218 Sum of the twelfth powers of the first n primes.

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%I A236218 #19 Dec 23 2024 14:53:43
%S A236218 4096,535537,244676162,14085963363,3152514340084,26450599462565,
%T A236218 609072836692326,2822387755758487,24737012187778808,
%U A236218 378551795393247849,1166214579181797610,7749166585021832891,30312656885388018972,70272287682650595373,186463770791599173614
%N A236218 Sum of the twelfth powers of the first n primes.
%H A236218 Robert Price, <a href="/A236218/b236218.txt">Table of n, a(n) for n = 1..1000</a>
%H A236218 OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>
%H A236218 V. Shevelev, <a href="https://web.archive.org/web/*/http://list.seqfan.eu/oldermail/seqfan/2013-August/011512.html">Asymptotics of sum of the first n primes with a remainder term</a>
%F A236218 a(n) = sum(k = 1 .. n, prime(k)^12).
%t A236218 Table[Sum[Prime[k]^12, {k, n}], {n, 1000}]
%t A236218 Accumulate[Prime[Range[20]]^12] (* _Harvey P. Dale_, Jan 31 2014 *)
%o A236218 (PARI) s=[]; for(n=1, 15, s=concat(s, sum(i=1, n, prime(i)^12))); s \\ _Colin Barker_, Jan 20 2014
%Y A236218 Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.
%Y A236218 Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.
%Y A236218 Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.
%Y A236218 Partial sums of A030631.
%K A236218 nonn,easy
%O A236218 1,1
%A A236218 _Robert Price_, Jan 20 2014