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A140411
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Conjectured complete list of squarefree numbers that can be written as a sum of at most two positive squares, but not as a sum of three positive squares.
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0
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OFFSET
| 1,2
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COMMENTS
| Conjecture 1,9, p. 4, of Goswick et al. "The squarefree numbers in question form a subset of Euler's numeri idonei [A000926], therefore at most one number can be absent from the list above. If such a number does exist, it must exceed 2 * 10^11 and if it is even the Generalized Riemann Hypothesis is false."
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LINKS
| Lee M. Goswick, Emil W. Kiss, Gabor Moussong, Nandor Simanyi, Sums of squares and orthogonal integral vectors, arXiv:0806.3943
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FORMULA
| a(n) in A005117 and a(n) in {i^2 + j^2 for i,j > 1} and a(n) not in {i^2 + j^2 + k^2 for i,j,k > 1}.
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CROSSREFS
| Cf. A000926, A005117.
Sequence in context: A018296 A033316 A099194 * A053353 A099792 A115757
Adjacent sequences: A140408 A140409 A140410 * A140412 A140413 A140414
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KEYWORD
| fini,full,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 25 2008
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