## Proof of Euclid's Formula for Pythagorean Triples

Euclid’s formula says that, are a Pythagorean triple, i.e.,
for are integers, if and only if , ,
for some integers .
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Euclid’s formula says that, are a Pythagorean triple, i.e.,
for are integers, if and only if , ,
for some integers .
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Stochastic process:
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Note that
In fact, we have
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Bloom filter gives a -efficient way to test for set memberships, but with false positives and no false negatives, i.e. it will tell you while actually it is not, but not vice versa.
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Comparing and .
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