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Search: id:A145050
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| A145050 |
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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 |
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5
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OFFSET
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1,1
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COMMENT
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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)
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EXAMPLE
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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)
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CROSSREFS
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A145016 A145017 A145022 A145023 A145043 A145047 A145048 A145049
Sequence in context: A031669 A031579 A031759 this_sequence A164971 A048268 A043634
Adjacent sequences: A145047 A145048 A145049 this_sequence A145051 A145052 A145053
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KEYWORD
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nonn
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AUTHOR
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Vladimir Shevelev (shevelev(AT)bgu.ac.il), Sep 30 2008, Oct 03 2008
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