A236216 - OEIS

A236216

Sum of the tenth powers of the first n primes.

1024, 60073, 9825698, 292300947, 26229725548, 164088217397, 2180082117846, 8311148375647, 49737659589296, 470444892889497, 1290073179870298, 6098657552288147, 19521316862440548, 41132799175724797, 93731931411554846, 268619401777067895, 779736155077709296

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OFFSET

1,1

LINKS

Robert Price, Table of n, a(n) for n = 1..1000

OEIS Wiki, Sums of powers of primes divisibility sequences

V. Shevelev, Asymptotics of sum of the first n primes with a remainder term

FORMULA

a(n) = Sum_{k=1..n} prime(k)^10.

MATHEMATICA

Table[Sum[Prime[k]^10, {k, n}], {n, 1000}]

Accumulate[Prime[Range[20]]^10] (* Harvey P. Dale, Apr 08 2026 *)