Asked by Jas
Name the triple (a, b, c) of positive integres exist such that a,
b, and c are prime and a squared and b squared = c?
b, and c are prime and a squared and b squared = c?
Answers
Answered by
drwls
There are an infinite number of such triples, such as
(3, 4, 5); (5, 12, 13); (7, 24, 25) and multiples thereof.
According to Fermat's conjecture, which was finally proven in 1995 after over 200 years, it only works when adding squares. There are no such integer triples for other powers.
(3, 4, 5); (5, 12, 13); (7, 24, 25) and multiples thereof.
According to Fermat's conjecture, which was finally proven in 1995 after over 200 years, it only works when adding squares. There are no such integer triples for other powers.
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