A221848 - OEIS

%I #13 Mar 29 2013 09:55:32

%S 31,242,4893,65944,437225,1161126,2964127,5825588,10154739,15080020,

%T 22166471,30110772,44945803,64557704,87939735,132059086,186723797,

%U 273272598,371065129,533543630,723425661,990642712,1283752673,1590492954,2080592455

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

%C 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).

%H Vladimir Pletser, <a href="/A221848/b221848.txt">Table of n, a(n) for n = 1..1000</a>

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

%K nonn,easy

%O 1,1

%A _Vladimir Pletser_, Jan 26 2013

%E More terms from _Harvey P. Dale_, Mar 29 2013