A174862 Smallest prime p such that the sum of the squares of primes up to p is a multiple of 10^n.

907, 977, 977, 36643, 1067749, 17777197, 71622461, 2389799983, 31252968359, 49460594569, 1915014433303, 4076200167673

Offset

1,1

Comments

Sequence discovery attributed to davar55. Initial work performed by Charles R Greathouse IV. Sequence extension performed and custom software written by Benjamin R. Buhrow.

Links

Table of n, a(n) for n=1..12.

Mersenneforum, Sums of Squares puzzle, Mar 18 2010.

Ben Buhrow, Software and extended tables.

Example

For a(1) = 907, 2^2 + 3^2 + 5^2 + ... + 907^2 = 37464550, which is a multiple of 10^1.
For a(2) = 977, 2^2 + ... + 977^2 = 46403000, which is a multiple of 10^2 and 10^3.

Crossrefs

Cf. A330308, A330309.

Sequence in context: A235242 A270446 A006917 * A350852 A195987 A216468

Adjacent sequences: A174859 A174860 A174861 * A174863 A174864 A174865

Keyword

nonn,more,hard

Author

Benjamin R. Buhrow, Mar 31 2010

Status

approved