# [seqfan] Re: Artur (by way of O. Gérard) Help Needed for factorization

Artur grafix at csl.pl
Fri Nov 21 18:55:49 CET 2008

```Dear Seqfans,

Thank you for help!
On Alpern page is now folloowing communicate

Factoring 67279 611243 545378 609820 986606 981059 291070 958803 567416
300975 280208 969720 124094 621975 097648 465525 841783 790370 819325
540689
688995 549649 (131 digits)
Limit (B1=1000000; B2=100000000)    Curve 1192
Digits in factor:       >= 15    >= 20    >= 25    >= 30    >= 35    >= 40
Probability:            100%     100%     100%      99%      39%       6%

Time 23 hours

Program is still running but I don't break them because I want check
waht happend and compared with my method.

I was factored these numer by cute "handy method" today mornng.

2^(EulerPhi[3^7]-1)/3^7)=
{19, 163, 487, 1459, 2593, 71119, 80191, 87211, 97687, 135433, \
139483, 262657, 379081, 97685839, 227862073, 272010961, \
3110690934667, 16753783618801, 192971705688577, 3712990163251158343, \
10429407431911334611, 918125051602568899753, \
216892513252489863991753, 1102099161075964924744009, \
664728004346558283448724389870269691211809, \
3930633012033845211642296562036917482630127660811902974294889629856512\
10769817, \
1012137457781437422509010407880034249500684180982591611427196888917089\
05138274462262307761}

Together 27 factors

I'm apologize that I don't informed earlier that I have complete
factorozation (and seqfans will be not loosing computer time) but Oliver
Gerard usualy treated these messages as my "advertisemnt" and don't
permit on resend to seqfans and other horrors with communication with
other seqfans occured.

Is chance that I will do also factorization 2^(EulerPhi[3^8]-1)/3^8) soon.

Best wishes
Artur

```