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A076727
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Primes of the form x^2 + (x+3)^2.
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1
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17, 29, 89, 149, 269, 317, 617, 929, 1109, 1409, 2969, 3449, 3617, 4517, 5309, 6389, 7817, 8069, 8849, 12329, 14969, 17117, 17489, 21017, 23117, 23549, 27617, 30509, 32009, 33029, 34589, 35117, 41189, 42929, 43517, 47129, 48989, 52817, 60209
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OFFSET
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1,1
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COMMENTS
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Each prime of the form 4k+1 has a unique representation as x^2+y^2; these primes have y-x=3.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 1..1000
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MATHEMATICA
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Select[Table[2*n^2+6*n+9, {n, 0, 300}], PrimeQ] (* Vincenzo Librandi, Jul 15 2012
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PROG
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(MAGMA) [a: n in [0..200] | IsPrime(a) where a is 2*n^2+6*n+9]; // Vincenzo Librandi, Jul 15 2012
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CROSSREFS
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Cf. A002144, A027862.
Sequence in context: A196938 A225943 A069755 * A146870 A146744 A103304
Adjacent sequences: A076724 A076725 A076726 * A076728 A076729 A076730
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KEYWORD
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easy,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Oct 28 2002
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EXTENSIONS
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Edited by Don Reble (djr(AT)nk.ca), May 03 2006
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STATUS
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approved
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