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A064233
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Numbers which are not the sum of a prime number and a nonzero square.
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5
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1, 2, 5, 10, 13, 25, 31, 34, 37, 58, 61, 64, 85, 91, 121, 127, 130, 169, 196, 214, 226, 289, 324, 370, 379, 400, 439, 526, 529, 571, 625, 676, 706, 730, 771, 784, 829, 841, 991, 1024, 1089, 1225, 1255, 1351, 1414, 1444, 1521, 1549, 1681, 1849, 1906, 1936, 2116
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The sequence is infinite, cf. A014090. Subsequence of squares = A053726^2. Subsequence of nonsquares is disjoint union of A020495 and A065377 and so is probably finite. - Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 02 2005
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LINKS
| T. D. Noe, Table of n, a(n) for n = 1..1000
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EXAMPLE
| 5 = 1+4 or 2+3; a prime and a square do not appear together in either sum.
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MATHEMATICA
| Complement[ Table[ n, {n, 1, 10000} ], Union[ Flatten[ Table[ Prime[ i ] + j^2, {i, 1, 1230}, {j, 1, 100} ] ] ] ]
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CROSSREFS
| Sequence in context: A188434 A135467 A018571 * A051952 A103188 A064392
Adjacent sequences: A064230 A064231 A064232 * A064234 A064235 A064236
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KEYWORD
| easy,nonn,nice
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AUTHOR
| Axel Harvey (ax(AT)hirsig.ca), Sep 22 2001
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Robert G. Wilson v (rgwv(AT)rgwv.com) and Felice Russo (frusso(AT)micron.com), Sep 23 2001
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