A145048 Primes p of the form 4k+1 for which s=13 is the least positive integer such that sp-(floor(sqrt(sp)))^2 is a square.

2749, 2897, 3049, 3529, 3557, 3929, 4073, 4253, 4657, 4817, 5081, 5281, 5417, 5449, 5657, 5693, 5869, 6053, 6121, 6529, 6793, 6833, 7109, 7393, 7541, 7829, 7877, 7993, 8209, 8329, 8377, 8429, 8501, 8741, 8761, 8893, 9001, 9109, 9157, 9209, 9257, 9293

Offset

1,1

Links

Table of n, a(n) for n=1..42.

Example

a(1)=2749 since p=2749 is the least prime of the form 4k+1 for which sp-(floor(sqrt(sp)))^2 is not a square for s=1..12, but 13p-(floor(sqrt(13p)))^2 is a square (for p=2749 it is 16).

Crossrefs

Cf. A145016, A145022, A145023, A145047.

Sequence in context: A013872 A044885 A159581 * A112516 A325065 A045151

Adjacent sequences: A145045 A145046 A145047 * A145049 A145050 A145051

Keyword

nonn

Author

Vladimir Shevelev, Sep 30 2008

Status

approved