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A145023 Primes of the form 4k+1 for which s=5 is the least positive integer such that sp-(floor(sqrt(sp)))^2 is a full square +0
10
353, 373, 449, 461, 521, 541, 593, 653, 673, 757, 769, 797, 821, 829, 941, 953, 1009, 1021, 1061, 1069, 1097, 1193, 1217, 1249, 1277, 1361, 1381, 1481, 1489, 1549, 1597, 1613, 1657, 1669, 1693, 1709, 1733, 1777, 1801, 1877, 1889, 1973, 2053, 2069, 2081 (list; graph; listen)
OFFSET

1,1

EXAMPLE

a(1)=353 since p=353 is the least prime of the form 4k+1 for which sp-(floor(sqrt(sp)))^2 is not a full square for s=1,...,4, but 5p-(floor(sqrt(5p)))^2 is a full square (for p=353 it is 1)

CROSSREFS

A002144 A145016 A145022

Sequence in context: A145633 A156177 A104160 this_sequence A058375 A059635 A003294

Adjacent sequences: A145020 A145021 A145022 this_sequence A145024 A145025 A145026

KEYWORD

nonn

AUTHOR

Vladimir Shevelev (shevelev(AT)bgu.ac.il), Sep 29 2008

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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