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#28 by N. J. A. Sloane at Sat Sep 17 11:52:50 EDT 2016
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#27 by N. J. A. Sloane at Sat Sep 17 11:52:47 EDT 2016
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| COMMENTS
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They are also number of solutions to y^2 = x^3 - 4*x (mod p) as p runs through the primes. - Seiichi Manyama, Sep 16 2016
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| STATUS
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reviewed
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#26 by Joerg Arndt at Fri Sep 16 12:09:14 EDT 2016
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#25 by Seiichi Manyama at Fri Sep 16 08:55:09 EDT 2016
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#24 by Seiichi Manyama at Fri Sep 16 08:54:13 EDT 2016
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#23 by Wolfdieter Lang at Fri May 27 13:39:25 EDT 2016
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#22 by Wolfdieter Lang at Fri May 27 13:39:19 EDT 2016
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| COMMENTS
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The only rational solution of y^2 = x^3 + x is (y, x) = (0, 0). See the Silverman reference, Theorem 44.1 with a proof on pp. 388 - 391. - _Wolfdieter Lang_, Feb 08 2016
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approved
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#21 by Wolfdieter Lang at Fri May 27 12:35:23 EDT 2016
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#20 by Wolfdieter Lang at Fri May 27 12:35:16 EDT 2016
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| REFERENCES
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J. H. Silverman, A Friendly Introduction to Number Theory, 3rd ed., Pearson Education, Inc, 2006, Theorem 45.1 on p. 399.
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| STATUS
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approved
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#19 by Wolfdieter Lang at Fri Apr 15 12:34:40 EDT 2016
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