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Search: id:A093365
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| A093365 |
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Least number which is the end of an arithmetic progression of n numbers that are the sums of two nonzero squares. |
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+0
2
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| 2, 5, 8, 26, 34, 65, 146, 170, 194, 218, 242, 1445, 2225, 2309, 2393, 2477, 2561, 2645, 2729, 2813, 2897, 71633, 479581, 664445, 685697, 1141625, 1184129, 4153621, 4217377, 4281133, 4344889, 4408645, 33344305
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The next term is > 225000000.
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LINKS
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Ben Green and Terence Tao, The primes contain arbitrarily long arithmetic progressions
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EXAMPLE
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Example: a(6)=65: 5=2^2+1^2, 17=4^2+1^2, 29=5^2+2^2, 41=5^2+4^2, 53=7^2+2^2, 65=7^2+4^2.
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CROSSREFS
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Arithmetic progressions in A000404. For gaps see A093366.
Cf. A005115, arithmetic progressions of primes.
Adjacent sequences: A093362 A093363 A093364 this_sequence A093366 A093367 A093368
Sequence in context: A100501 A142869 A086825 this_sequence A128600 A066846 A140275
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KEYWORD
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nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Apr 27 2004
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EXTENSIONS
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More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Apr 29 2004
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