54 citations · 60 across the 4 of their papers we have counts for
Showing math.NTShow all
3 papers · 1 filter
math.NT2007★ 5 cited
Dual Elliptic Primes and Applications to Cyclotomy Primality Proving
Preda Mihailescu
Two rational primes p, q are called dual elliptic if there is an elliptic curve E mod p with q points. They were introduced as an interesting means for combining the strengths of t…
math.NT2007★ 1 cited
Cyclotomy Primality Proofs and their Certificates
Preda Mihailescu
The first efficient general primality proving method was proposed in the year 1980 by Adleman, Pomerance and Rumely and it used Jacobi sums. The method was further developed by H.…
math.NT2007
A Cylcotomic Investigation of the Fermat - Catalan Equation
Preda Mihailescu
We give some new, simple results on the equation X^p + Y^p = Z^q.