A221848 Partial sums of primes equal (x+1)^5 - x^5.

31, 242, 4893, 65944, 437225, 1161126, 2964127, 5825588, 10154739, 15080020, 22166471, 30110772, 44945803, 64557704, 87939735, 132059086, 186723797, 273272598, 371065129, 533543630, 723425661, 990642712, 1283752673, 1590492954, 2080592455

Offset: 1

Author

Vladimir Pletser, Jan 26 2013

Keywords

• nonn
• easy

Comments

Partial sums of primes equal to the difference of two consecutive fifth powers (x+1)^5 - x^5 = 5x(x+1)(x^2+x+1)+1 (A121616). Values of x = A121617. Number of primes equal (x+1)^5 - x^5 < 10^(n) in A221846. Partial sums of number of primes of the form (x+1)^5 - x^5 have similar characteristics to similar sequences for natural primes (A007504) and cuban primes (A221793).

Links

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

Programs

Mathematica

Accumulate[Select[#[[2]]-#[[1]]&/@Partition[Range[100]^5,2,1],PrimeQ]] (* Harvey P. Dale, Mar 29 2013 *)

Extensions

More terms from Harvey P. Dale, Mar 29 2013