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#4 Primality certificate - Wikipedia, the free encyclopedia
... recursively encode the proof of primality for q < n, continuing until we reach a ... notes on Pratt's Primality Proofs. Department of Computer Science. ...
en.wikipedia.org/wiki/Primality_certificate

#5 A proof of Lucas-Lehmer Test
Here we prove the sufficiency of the Lucas-Lehmer test for the primality of Mersenne numbers. This proof is similar to the proof of all the classical tests in that ...
primes.utm.edu/notes/proofs/LucasLehmer.html

#6 Primes and Primality Testing
... otherwise, Magma will use rigorous primality proofs. Subsections ... adaptation of this compositeness test can be used for primality proofs in a bounded range. ...
www.umich.edu/~gpcc/scs/magma/text539.htm

#7 PrimeQ
... (in any system) that checks that the certificate provides a proof of primality. ... Morain was able to give a primality proof for a 1065-digit number, the first ...
documents.wolfram.com/v5/.../NumberTheory/PrimeQ.html

#8 Primality Testing Using Elliptic Curves
they do not provide any succinct proof of the primality number of a number it. declares prime. ... one can produce short proofs of primality. We call such a ...
groups.csail.mit.edu/cis/pubs/shafi/1999-jacm-gk.pdf

#9 Primality Proving 2.2: Fermat, probable-primality and ...
Home > Primality Proving > Chapter Two > Probable Primes ... [ proof] ... The smallest examples of pseudoprimes (composite PRPs) are the following. ...
primes.utm.edu/prove/prove2_2.html

#10 PlanetMath: proof of Lucas-Lehmer primality test
"proof of Lucas-Lehmer primality test" is owned by rm50. ... This is version 2 of proof of Lucas-Lehmer primality test, born on 2009-01-05, ...
planetmath.org/.../ProofOfLucasLehmerPrimalityTest.html

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