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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 full square 5
6569, 8117, 8689, 9221, 9281, 9829 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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 in A145047)

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

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 full square for s=1,...,25, but 26p-(floor(sqrt(26p)))^2 is a full square (for p=6569 it is 225)

CROSSREFS

A145016 A145017 A145022 A145023 A145043 A145047 A145048 A145049

Sequence in context: A031579 A288884 A031759 * A256837 A216177 A186563

Adjacent sequences:  A145047 A145048 A145049 * A145051 A145052 A145053

KEYWORD

nonn

AUTHOR

Vladimir Shevelev, Sep 30 2008, Oct 03 2008

STATUS

approved

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Last modified January 18 18:48 EST 2018. Contains 297864 sequences.