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The primes with Legendre Symbol 
 (less than 
 for trial divisor 
) which need be considered
when using the Quadratic Sieve Factorization Method.
See also Dixon's Factorization Method
References
Morrison, M. A. and Brillhart, J.  ``A Method of Factoring and the Factorization of  
.''
  Math. Comput. 29, 183-205, 1975.