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News:
3 January 2005: The factorization of 21734 +1 was completed when
the cofactor having 156 digits:
4368442810835521581268899924524957424706430603565561
4251997719921942938829565641342379754148199838850876
8685853687232087083919375105407415049294640427023681
was factored, with one prime factor having 71 digits:
11390863043502454932811494176805522322333679313892091082261899485723141,
the other prime factor having 86 digits:
38350411151044053938126080169291738916458800482405483935438018190740632202303569628941.
The number field used was of degree 4 with non-cyclic Galois
group of order 4, and polynomial x4-2x3+2x2-4x+4.
29 January 2005: The factorization of 7 390 +1 was
completed when the cofactor having 163 digits:
1778498287704816928742247829325498465684164715658046774
8769640920001774729733927003247267769378676604409530757
62555817233231067167579448693420525197723461573177601
was factored, with one prime factor having 59 digits:
83045488934614078783587315830746672662467594739668065636081,
the other prime factor having 104 digits:
2141595299782169678394228420555707230215610015828713
7380707797733278925848073819451149244991100839387921.
The number field used was of degree 4 with cyclic Galois
group of order 4, and polynomial
x4+x3-4x2-4x+1.
February 2005: Sieving to factor 5 320 +1 is currently in
progress.
2004 Results. and description to follow.