ON THE FAMILY OF DIOPHANTINE TRIPLES {k− 1,k+ 1, 16k3− 4k}
2007 ◽
Vol 49
(2)
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pp. 333-344
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Keyword(s):
AbstractIt is proven that ifk≥ 2 is an integer anddis a positive integer such that the product of any two distinct elements of the setincreased by 1 is a perfect square, thend= 4kord= 64k5−48k3+8k. Together with a recent result of Fujita, this shows that all Diophantine quadruples of the form {k− 1,k+ 1,c,d} are regular.
1984 ◽
Vol 27
(4)
◽
pp. 501-504
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Keyword(s):
1961 ◽
Vol 5
(1)
◽
pp. 35-40
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2016 ◽
Vol 37
(6)
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pp. 1997-2016
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Keyword(s):
1955 ◽
Vol 7
◽
pp. 347-357
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1968 ◽
Vol 9
(2)
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pp. 146-151
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1953 ◽
Vol 1
(3)
◽
pp. 119-120
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1963 ◽
Vol 6
(2)
◽
pp. 70-74
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1974 ◽
Vol 26
(6)
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pp. 1351-1355
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Keyword(s):
1964 ◽
Vol 16
◽
pp. 94-97
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