Verser Finds Four Factors, Finishes 'Feuillian

[wblipp]

Rocke Verser has found factors of three ElevenSmooth composites with ECM. The C217 from the M-Aurifeuillian of M(6300) cracked as P29 * P179 on June 11th. Then the C1266 from the L-Aurifeuillian of M(41580) yielded a P43 on July 4th and the C312 from the L-Aurifeuillian of M(7700) yielded a P31 on July 6th. In 1997 Rocke wrote the DESCHALL client program that solved the original RSA DES Challenge, using distributed computing and brute force to break 56 bit encryption.

The ElevenSmooth Project had previously found two factor for each of M(41580) and M(7700). The factorizations are now

M(6300) M-part = P39 * P179
M(7700) L-part = P5 * P10 * P18 * P20 * P31 * C282
M(41580) L-part = P15 * P22 * P43 * C1223

[wblipp]

Rocke Verser has found a fifth ElevenSmooth factor! This P34 from M(5400) was found with ECM at the B1=1M level. This reduces the unfactored residual from C406 to C373. This is the second factor ElevenSmooth has found for this number.

[em99010pepe]

What's the address for the ECMNET server?

[wblipp]

Originally Posted by em99010pepe

What's the address for the ECMNET server?

The ElevenSmooth ECMNET Server is at elevensmooth.no-ip.org:8194

However, Rocke's factors have not come from using the ECMNET server. A few years ago we left some of the algebraic factors out of the ECM Server because we were running the "Special Project" using Prime95 to work on the entire M(3326400). This was pretty successful, finding over 70 factors, including 20 factors at B1=50K.

Above this level interest waned because of the long time needed to run each curve at B1=250K. The missing algebraic primitives have not been added to the ECM Server. Rocke has been working mostly with these missing primitives. Most of the missing primitives are algebraic factors of 2^1663200+1.

[em99010pepe]

Thanks. Don't forget to update the new address at the ElevenSmooth page.