A221979 Partial sums of primes of the form (n+1)^7 - n^7.

127, 14324, 557931, 1831540, 4517357, 9734388, 26079025, 167982242, 2096276793, 10354981402, 24379848623, 47195272710, 78109546591, 169264277168, 285424955019, 468934979410, 749602296677, 1302535107108, 2819580695167, 4457920826414

Offset: 1

Author

Vladimir Pletser, Feb 02 2013

Keywords

• nonn
• easy

Comments

Partial sums of primes equal to the difference of two consecutive seventh powers (x+1)^7 - x^7 = 7x(x+1)(x^2+x+1)^2+1 (A121618). Values of x = A121619 - 1. Number of primes equal (x+1)^7 - x^7 < 10^(n) in A221977. Partial sums of number of primes of the form (x+1)^7 - x^7 have similar characteristics to similar sequences for natural primes (A007504), cuban primes (A221793) and primes of the form (x+1)^5 - x^5 (A221848).

Links

• Vladimir Pletser, Table of n, a(n) for n = 1..1000

Programs

Mathematica

Accumulate[Select[Differences[Range[80]^7],PrimeQ]] (* Harvey P. Dale, Jul 09 2024 *)