A275743 The number of integers not representable as a sum of n-th powers of primes.

1, 12, 83, 600, 3058, 18222, 130411, 783480, 3418488, 24857930, 181308931, 610675758, 6529545751, 18840405540, 102444103996, 956394012747, 3188347929974, 27288773879397, 96923972375603, 702926766993950, 2980668206142664, 20046633698159181, 88137290213079355, 502113072640777785

Offset: 1

Author

Mike Oakes, Aug 07 2016

Keywords

• nonn

Comments

I executed the algorithm in Boecker et al. (2007) with a PARI/GP program, which needed 34 GB RAM and 2 hours to run for n=30. Results checked by an independent algorithm. - Mike Oakes, Aug 17 2016

Examples

			For n=2, there are 12 nonnegative integers that cannot be written as a sum of squares of primes.
		

Links

• Mike Oakes, Table of n, a(n) for n = 1..30
• S. Boecker and Z. Liptak, A Fast and Simple Algorithm for the Money Changing Problem, Algorithmica, 48 (2007), 413-432.

Crossrefs

Cf. A122615, A275746.

Extensions

More terms from Mike Oakes, Aug 17 2016

a(16) corrected by Andrew Howroyd, Feb 23 2018