id:A145016 - OEIS Search Results

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Primes p of the form 4k+1 for which p-(floor(sqrt(p)))^2 is a full square

+0
15

5, 13, 17, 29, 37, 53, 73, 97, 101, 109, 137, 173, 197, 229, 241, 257, 281, 293, 349, 397, 401, 409, 457, 509, 577, 601, 641, 661, 677, 701, 733, 809, 857, 877, 977, 997, 1033, 1049, 1093, 1153, 1181, 1229, 1289, 1297, 1321, 1373, 1433, 1453, 1493, 1601, 1609 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`If a(n)=x^2+y^2 then y=floor(sqrt(a(n))) and by well known Euler theorem, it is the unique such representation`
	CROSSREFS	`Adjacent sequences: A145013 A145014 A145015 this_sequence A145017 A145018 A145019` `Sequence in context: A077426 A002144 A111055 this_sequence A123079 A038938 A053028`
	KEYWORD	`nonn`
	AUTHOR	`Vladimir Shevelev (shevelev(AT)bgu.ac.il), Sep 29 2008`

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.

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