News - December 2009

December 21, 2009
(752M^2·41)^41-1: c89 = p42 · p48, where
                  p42 = 273638859566355634262301277714113099795331 and
                  p48 = 150303328222703102483898036967456684886743769471.
                  Msieve - QS.                  

December 7, 2009 (Kenji Ibusuki)
2009^123-1: c224 = p42 · p67 · p116, where
            p42  = 472998569344464581564138334317528519191363,
            p67  = 1004095933921827387225683247388318178371547554647164602155902585431 and
            p116 = 27707424072239881377738814368508108152071588857084945092353267501341125020797434851785361599451596318478836838646133.
            p116 was found by Aurifeuillian factorization,
            p42 · p67 by GNFS/GGNFS-0.77.1.

December 3, 2009
(756M^2·41)^41-1: 5526296388287786366461996236016806625853884657.
This p46 is pleasant, since it was found with ecm and B1=200000 (!).
Annoying is the fact that no sigma is available (at small B1 values ecm runs with the -q option without saving any details).

December 2, 2009 (Kurt Beschorner)
(220M^2·41)^41-1: 4913560645128922746486433152683090898679.
(584L^2·41)^41-1: 20946742441695728296429930272410150685173.

Alfred Reich