A275746 The number of integers not representable as a sum of n-th powers of odd primes.

3, 62, 840, 12350, 99912, 2358913, 12173587, 120900206, 1224812108, 20439317893, 130357794430, 1534358290778, 13544972574336, 142155007727976, 1648210755327790, 14816750258004918, 151900144117560355, 1525977077403654254, 16185530587326104490

Offset

1,1

Comments

I executed the algorithm in Boecker et al. (2007) with a PARI/GP program, which needed 36 GB RAM and 2 hours to run for n=19. Results checked by an independent algorithm. - Mike Oakes, Aug 17 2016

Links

Table of n, a(n) for n=1..19.

S. Boecker and Z. Liptak, A Fast and Simple Algorithm for the Money Changing Problem, Algorithmica, 48 (2007), 413-432.

Example

For n=2, there are 62 integers that cannot be written as a sum of squares of odd primes.

Crossrefs

Cf. A275747. For all primes, including 2, see A275743, A122615.

Sequence in context: A264463 A239576 A279974 * A177496 A104403 A301609

Adjacent sequences: A275743 A275744 A275745 * A275747 A275748 A275749

Keyword

nonn

Author

Mike Oakes, Aug 07 2016

Extensions

More terms from Mike Oakes, Aug 17 2016

Status

approved