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Exponential Congruences

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Congruences of the form display many regular patterns, as explained by theorems from Fermat and Euler, among others. The plot shows the values of within the complete residue system for domain values , the modulus , and the exponent .

Contributed by: Richard Roe (March 2011)
Open content licensed under CC BY-NC-SA

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Snapshot 1: little Fermat theorem

Snapshot 2: quadratic residues of 7

The initial settings are a particular demonstration of Euler's criterion.

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