A130292 Numbers that are sums of fifth powers of two distinct primes.

275, 3157, 3368, 16839, 17050, 19932, 161083, 161294, 164176, 177858, 371325, 371536, 374418, 388100, 532344, 1419889, 1420100, 1422982, 1436664, 1580908, 1791150, 2476131, 2476342, 2479224, 2492906, 2637150, 2847392, 3895956

Offset

1,1

Comments

This is to 5th powers as A120398 is to cubes and A130873 is to 4th powers. After a finite number of integers which cannot be written as a sum of 5th powers of primes, all integers can be so written; but no sum of exactly two fifth powers of primes is itself prime.

Links

Table of n, a(n) for n=1..28.

Formula

{a(n}} = {k such that k = A050997(i) + A050997(j)} = {k such that k = A000040(i)^5 + A000040(j)^5}.

Example

a(1) = prime(1)^5 + prime(2)^5 = 2^5 + 3^5 = 32 + 243 = 275.

Mathematica

Select[Sort[ Flatten[Table[Prime[n]^5 + Prime[k]^5, {n, 15}, {k, n - 1}]]], # <= Prime[15^5] &]

Crossrefs

Cf. A000040, A050997, A120398, A122616, A130873.

Sequence in context: A028531 A028533 A257123 * A133536 A224109 A075666

Adjacent sequences: A130289 A130290 A130291 * A130293 A130294 A130295

Keyword

easy,nonn

Author

Jonathan Vos Post, Aug 06 2007

Status

approved