38^91+1Henrik Olsen announces the complete factorization of the number N=(38^91+1)/(38^13+1) from Richard Brent's Factor Tables by the Special Number Field Sieve (SNFS). It was previously known that N = 29 * 239 * 16927 * 423277 * c110 where c110 is a 110 digit composite number given by c110 = 3366045425774464752096938170116372928101\ 4666384288385765793775176370241552595261\ 634243878448115651711974924153 The two polynomials used were X^6 - X^5 + X^4 - X^3 + X^2 - X + 1 and X - 38^13 with common root 38^13 (mod N). The linear algebra phase was done by Conrad Curry. On 26 Nov, 1999 it was found that c110 = p47 * p64 where p47 = 10266536220316255483758618648521254491255005689 p64 = 3278657332463758079471550699426387852039147791504329628016494977 My NFSNET page NFSNET homepage Cunningham Project homepage |
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