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A174862 Smallest prime p such that the sum of the squares of primes up to p is a multiple of 10^n. 2
907, 977, 977, 36643, 1067749, 17777197, 71622461, 2389799983, 31252968359, 49460594569, 1915014433303, 4076200167673 (list; graph; refs; listen; history; text; internal format)
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 * A195987 A216468 A031939

Adjacent sequences:  A174859 A174860 A174861 * A174863 A174864 A174865

KEYWORD

nonn,more,hard

AUTHOR

Benjamin R. Buhrow, Mar 31 2010

STATUS

approved

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Last modified February 26 03:00 EST 2021. Contains 341619 sequences. (Running on oeis4.)