[seqfan] Re: What's the better definition of A001134
David Applegate
david at research.att.com
Fri May 17 13:49:05 CEST 2013
The "history" link on A001134 shows the evolution of the definition:
2 is a quartic residue modulo $_p$.
Primes p such that 2 is a quartic residue modulo p.
Primes p such that 2 is a quartic residue modulo p, but not a
higher-order residue. (Don Reble's improvement)
Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.
If you were asking for an explanation of the definition, rather than the
history, the multiplicative order of x modulo y is the n such that
x^n === 1 (mod y), but x^(n-1) !== 1 (mod y).
-Dave
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