SOME OBSERVATIONS ON THE DIOPHANTINE EQUATION y2=x!+A AND RELATED RESULTS
2012 ◽
Vol 86
(3)
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pp. 377-388
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Keyword(s):
AbstractWe consider the Brocard–Ramanujan type Diophantine equation y2=x!+A and ask about values of A∈ℤ for which there are at least three solutions in the positive integers. In particular, we prove that the set 𝒜 consisting of integers with this property is infinite. In fact we construct a two-parameter family of integers contained in 𝒜. We also give some computational results related to this equation.
2009 ◽
Vol 42
(12)
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pp. 125303
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Keyword(s):
2019 ◽
Vol 19
(2)
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pp. 121-125
2005 ◽
Vol 287
(1-2)
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pp. 101-115
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