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Old 2021-05-30, 20:36   #7
sean
 
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Aug 2004
New Zealand

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A lot of popular projects have numbers which can be handled with SNFS including Cunningham and related, cyclotomic, Cullen, Woodall, Fibonacci and Lucas and related, x^y+y^x. In addition to what has already been mentioned, factordb can sometimes give you a ready made SNFS polynomials (but be aware it is not always right or useful in what it suggests for the polynomial).

As xilman indicates, if you can express your number (or some multiple of your number) as a small degree homogeneous polynomial, then SNFS is probably applicable, although it will not always be the best choice.
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