[GAP Forum] Factoring large integers

Michael Nüsken nuesken at bit.uni-bonn.de
Mon Oct 24 15:46:03 BST 2016


Just for fun, I had MuPAD (of 2004) running for 120h on one 2.4GHz
kernel on your d:

Am 19.10.2016 um 12:42 schrieb Stefan Kohl:
>>
d:=208792137511016848023422421216659133913113038868420856362546192700228823547384086468768314408434778574357732094492450898877804848025959323284721735578041792204431293469827064868376517438126765900138542676486099702859181721290457656418761796076484288301990972494617227238953673093108532474354655441019362615154103484247530007425892848695540897;;

and it produced no answer.  That system only implements elliptic
curve factoring, but it would probably have finished if all but one
prime factors have at most 60-80 bit...

Well, still, the runtime of even the best known factoring algorithms
(ECM, GNFS) is exponential.

Enjoy,
|\  /| Michael Nüsken, b-it cryptography,
| \/ | Room 1.22, Dahlmannstr. 2, 53113 Bonn,
|  \ | ++49/228/2699-214, ++49/228/2619334,
|   \| <http://cosec.bit.uni-bonn.de/~nuesken/>.





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