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Exponential Congruences
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
SNAPSHOTS
DETAILS
Snapshot 1: little Fermat theorem
Snapshot 2: quadratic residues of 7
The initial settings are a particular demonstration of Euler's criterion.
RELATED LINKS
Congruence
(
Wolfram
MathWorld
)
Modulus
(
Wolfram
MathWorld
)
Residue
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Exponential Congruences
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ExponentialCongruences/
Contributed by:
Richard Roe
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