On the Equation x21 + x22 + x23 + x24 = N with Variables such that x1x2x3x4 + 1 is an Almost-Prime
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11 mar 2015
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Publicado en línea: 11 mar 2015
Páginas: 1 - 26
Recibido: 22 jun 2014
DOI: https://doi.org/10.2478/tmmp-2014-0015
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© 2015
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We consider Lagrange’s equation x21 +x22 +x23 +x24 = N, where N is a sufficiently large and odd integer, and prove that it has a solution in natural numbers x1, . . . , x4 such that x1x2x3x4 + 1 has no more than 48 prime factors.