17^119+1Henrik Olsen announces the complete factorization of the number N=(17^119+1)/(17^17+1) from Richard Brent's Factor Tables by the Special Number Field Sieve (SNFS). It was previously known that N = 22796593 * c119 where c119 is a 119 digit composite number given by c119 = 1405788657689534889433166118493415172044\ 9759660289045392441706347261628212622032\ 741678120309783555598517280879501126401 The two polynomials used were X^6 - X^5 + X^4 - X^3 + X^2 - X + 1 and X - 17^17 with common root 17^17 (mod N). The linear algebra phase was done by Conrad Curry. On 26 Nov, 1999 it was found that c119 = p53 * p66 where p53 = 56222544577340657668398822455170499471823306626109469 p66 = 250040027227104400178171567854032184062444128420008217066182482229 My NFSNET page NFSNET homepage Cunningham Project homepage |
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