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From: rsamaven@aol.com (RSAMaven)
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Subject: RSA Laboratories FAQ 3.0 - Part 3
Date: 16 Aug 1996 14:47:19 -0400
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Question 11. Are Strong Primes Necessary in RSA?


In the literature pertaining to RSA, it has often been suggested that in
choosing a key pair, one should use so-called  strong  primes p and q to
generate the modulus n. Strong primes are those with certain properties 
that make the product n hard to factor by specific factoring methods; such
properties have included, for 
example, the existence of a large prime factor of p-1 and a large prime
factor of p+1. The reason for these 
concerns is that some factoring methods are especially suited to primes p
such that p-1 or p+1 has only 
small factors; strong primes are resistant to these attacks. 

However, advances in factoring over the last ten years (see Question 48)
appear to have obviated the 
advantage of strong primes; the elliptic curve factoring algorithm is one
such advance. The new factoring 
methods have as good a chance of success on strong primes as on  weak 
primes. Therefore, choosing 
traditional  strong  primes alone does not significantly increase
[remainder of text deleted by folder-shrink.pl]
