|
|
A221848
|
|
Partial sums of primes equal (x+1)^5 - x^5.
|
|
3
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
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
|
|
|
MATHEMATICA
|
Accumulate[Select[#[[2]]-#[[1]]&/@Partition[Range[100]^5, 2, 1], PrimeQ]] (* Harvey P. Dale, Mar 29 2013 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|