Find all possible quadruplets (a,b,c,d) of positive integers, that satisfy this equation:
a!-b!-c! = d2.
Prove that no further quadruplet satisfies the given conditions.
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Submitted by K Sengupta
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Rating: 5.0000 (4 votes)
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Solution:
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(Hide)
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[a,b,c,d]=
[3, 1, 1, 2, 4], [4, 2, 3, 4, 16],[4, 3, 2, 4, 16], [6, 4, 5, 24, 576], [6, 5, 4, 24, 576], [7, 6, 6, 60, 3600]
For an explanation, refer to the solution submitted by Charlie in this location. |
