|
| |
|
|
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
|
| |
|
|
