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%I #10 Jan 02 2023 12:30:50
%S 16384,4799353,6108314978,684331387827,380434164971068,
%T 4317810550670357,172695637110071286,971702322892955407,
%U 12564538647431705216,310122771323231168697,1067066706544027489018,10079128002539035788707,48008355197454594590868
%N Sum of the fourteenth powers of the first n primes.
%H Robert Price, <a href="/A236222/b236222.txt">Table of n, a(n) for n = 1..1000</a>
%H OEIS Wiki, <a href="https://oeis.org/wiki/Sums_of_primes_divisibility_sequences">Sums of powers of primes divisibility sequences</a>
%H V. Shevelev, <a href="http://list.seqfan.eu/oldermail/seqfan/2013-August/011512.html">Asymptotics of sum of the first n primes with a remainder term</a>
%F a(n) = sum(k = 1 .. n, prime(k)^14).
%t Table[Sum[Prime[k]^14, {k, n}], {n, 1000}]
%t Accumulate[Prime[Range[20]]^14] (* _Harvey P. Dale_, Nov 26 2014 *)
%Y Cf. A085450 = smallest m > 1 such that m divides Sum_{k=1..m} prime(k)^n.
%Y Cf. A007504, A045345, A171399, A128165, A233523, A050247, A050248.
%Y Cf. A024450, A111441, A217599, A128166, A233862, A217600, A217601.
%K nonn,easy
%O 1,1
%A _Robert Price_, Jan 20 2014
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