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Search: id:A140411
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| A140411 |
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Conjectured complete list of square-free 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
1
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OFFSET
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1,2
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COMMENT
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Conjecture 1,9, p. 4, of Goswick et al. "The square-free 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
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Lee M. Goswick, Emil W. Kiss, Gabor Moussong, Nandor Simanyi, Sums of squares and orthogonal integral vectors
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FORMULA
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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
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Cf. A000926, A005117.
Sequence in context: A018296 A033316 A099194 this_sequence A053353 A099792 A115757
Adjacent sequences: A140408 A140409 A140410 this_sequence A140412 A140413 A140414
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KEYWORD
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fini,full,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 25 2008
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