A145873 Smallest k such that k^2+1 is divisible by A002144(n)^9.

280182, 822557039, 24306922095, 4563230639355, 15069267560119, 112076323050317, 50928660480181, 3138611770750343, 9110883894036198, 50251663587824641, 76004727767164666, 310872228812491206, 521749964271465

Offset

1,1

Links

Table of n, a(n) for n=1..13.

Example

a(1) = 280182 since A002144(1) = 5, 280182^2+1 = 78501953125 = 5^9*40193 and for no k < 280182 does 5^9 divide k^2+1. a(3) = 24306922095 since A002144(3) = 17, 24306922095^2+1 = 590826461732399189026 = 2*17^9*29*673*127637 and for no k < 24306922095 does 17^9 divide k^2+1.

Crossrefs

Cf. A002144 (primes of form 4n+1), A002313 (-1 is a square mod p), A059321, A145296, A145297, A145298, A145299, A145871, A145872.

Sequence in context: A017467 A017599 A111750 * A253033 A203867 A250979

Adjacent sequences: A145870 A145871 A145872 * A145874 A145875 A145876

Keyword

nonn

Author

Klaus Brockhaus, Oct 30 2008

Status

approved