On Equal Products of Consecutive Integers
1970 ◽
Vol 13
(2)
◽
pp. 255-259
◽
Keyword(s):
Using the theory of algebraic numbers, Mordell [1] has shown that the Diophantine equation1possesses only two solutions in positive integers; these are given by n = 2, m = 1, and n = 14, m = 5. We are interested in positive integer solutions to the generalized equation2and in this paper we prove for several choices of k and l that (2) has no solutions, in other cases the only solutions are given, and numerical evidence for all values of k and l for which max (k, l) ≤ 15 is also exhibited.
2010 ◽
Vol 81
(2)
◽
pp. 177-185
◽
Keyword(s):
2012 ◽
Vol 08
(03)
◽
pp. 813-821
◽
2013 ◽
Vol 94
(1)
◽
pp. 50-105
◽
2009 ◽
Vol 51
(3)
◽
pp. 659-667
◽
Keyword(s):
2006 ◽
Vol 02
(02)
◽
pp. 195-206
◽
Keyword(s):
2021 ◽
Vol 27
(3)
◽
pp. 123-129
1956 ◽
Vol 3
(1)
◽
pp. 55-56
Keyword(s):