The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A145048 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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.
(history; published version)

#5 by Susanna Cuyler at Sun Jan 12 23:45:54 EST 2020

STATUS

proposed

approved

#4 by Jon E. Schoenfield at Sun Jan 12 20:22:16 EST 2020

STATUS

editing

proposed

#3 by Jon E. Schoenfield at Sun Jan 12 20:22:14 EST 2020

NAME

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 full square.

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 full square for s=1,...,12, but 13p-(floor(sqrt(13p)))^2 is a full square (for p=2749 it is 16).

CROSSREFS

Cf. A145016 , A145022 , A145023 , A145047.

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 18:52:52 EDT 2012

AUTHOR

_Vladimir Shevelev (shevelev(AT)bgu.ac.il), _, Sep 30 2008

Discussion

Fri Mar 30

18:52

OEIS Server: https://oeis.org/edit/global/261

#1 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

NAME

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 full square

DATA

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

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 full square for s=1,...,12, but 13p-(floor(sqrt(13p)))^2 is a full square (for p=2749 it is 16)

CROSSREFS

A145016 A145022 A145023 A145047

KEYWORD

nonn

AUTHOR

Vladimir Shevelev (shevelev(AT)bgu.ac.il), Sep 30 2008

STATUS

approved