3 Р 1 ? What if 3 is replaced by = 2. For which primes p is -3, 5, -5, 6, or -6 ? Any patterns? Is (=) = 1 equivalent to some congruences for p mod 4n? How many congruences are involved?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. For which primes pis (2) = 1 ? What if 3 is replaced by
—3, 5, −5, 6, or -6 ? Any patterns? Is (2) = 1 equivalent to some
congruences for p mod 4n ? How many congruences are involved?
Transcribed Image Text:Numerical 2. For which primes pis (2) = 1 ? What if 3 is replaced by —3, 5, −5, 6, or -6 ? Any patterns? Is (2) = 1 equivalent to some congruences for p mod 4n ? How many congruences are involved?
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