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A145050 Primes p of the form 4k+1 for which s=26 is the least positive integer such that sp-(floor(sqrt(sp)))^2 is a square. 5

%I

%S 6569,8117,8689,9221,9281,9829

%N Primes p of the form 4k+1 for which s=26 is the least positive integer such that sp-(floor(sqrt(sp)))^2 is a square.

%C For all primes of the form 4k+1 not exceeding 10000 the least integer s takes only values: 1, 2, 5, 10, 13, 17, 26. These values are the first numbers in A145017 (see our conjecture at A145047).

%e a(1)=6569 since p=6569 is the least prime of the form 4k+1 for which sp-(floor(sqrt(sp)))^2 is not a square for s=1..25, but 26p-(floor(sqrt(26p)))^2 is a square (for p=6569 it is 225).

%Y Cf. A145016, A145017, A145022, A145023, A145043, A145047, A145048, A145049.

%K nonn

%O 1,1

%A _Vladimir Shevelev_, Sep 30 2008, Oct 03 2008

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Last modified August 2 11:06 EDT 2021. Contains 346422 sequences. (Running on oeis4.)