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 A236218 Sum of the twelfth powers of the first n primes. 1
 4096, 535537, 244676162, 14085963363, 3152514340084, 26450599462565, 609072836692326, 2822387755758487, 24737012187778808, 378551795393247849, 1166214579181797610, 7749166585021832891, 30312656885388018972, 70272287682650595373, 186463770791599173614 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Robert Price, Table of n, a(n) for n = 1..1000 FORMULA a(n) = sum(k = 1 .. n, prime(k)^12). MATHEMATICA Table[Sum[Prime[k]^12, {k, n}], {n, 1000}] Accumulate[Prime[Range[20]]^12] (* Harvey P. Dale, Jan 31 2014 *) PROG (PARI) s=[]; for(n=1, 15, s=concat(s, sum(i=1, n, prime(i)^12))); s \\ Colin Barker, Jan 20 2014 CROSSREFS Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n. Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248. Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601. Sequence in context: A008456 A030631 A321820 * A016962 A224395 A224028 Adjacent sequences:  A236215 A236216 A236217 * A236219 A236220 A236221 KEYWORD nonn,easy AUTHOR Robert Price, Jan 20 2014 STATUS approved

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Last modified August 22 11:34 EDT 2019. Contains 326176 sequences. (Running on oeis4.)