A165347 Primes which are sum of at least two consecutive fourth powers.

17, 97, 337, 353, 881, 3697, 7793, 10657, 16561, 24979, 37699, 45377, 49297, 66977, 89041, 149057, 588737, 721687, 847601, 988417, 1146097, 1146727, 1603073, 1972097, 1975333, 2131937, 2522257, 2700979, 2782097, 2836961, 3553777

Offset

1,1

Links

Chai Wah Wu, Table of n, a(n) for n = 1..11423

Example

17=2^4+1^4, 97=3^4+2^4, ...
37699 = 7^4 +..+ 11^4, .. , 17351662206054298079 = 27563^4 +..+ 27592^4. - Chai Wah Wu, Feb 02 2016

Mathematica

lst={}; Do[p=m^4; Do[p+=n^4; If[PrimeQ[p]&&p<=9767999, AppendTo[lst, p]], {n, m+1, 6!, 1}], {m, 6!}]; Union@lst

Crossrefs

Cf. A163251.

Subsequence of A217844. - Chai Wah Wu, Jan 29 2016

Sequence in context: A078901 A078902 A103766 * A008514 A152913 A184327

Adjacent sequences: A165344 A165345 A165346 * A165348 A165349 A165350

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Sep 15 2009

Status

approved