Dear All,
Firstly, apologies to anyone receiving multiple copies of this message.
The following are the only six 30+ digit factors found by Pollard's p-1
of which I am aware:
(1) p34=8222057557067636644603420882415653
p-1=2^2.3.17.23.43.11657.506797.1632809.1692107.2496721
N=917^43-1
By: Steward 1999
(2) p34=7146831801094929757704917464134401
p-1=2^8.5^2.11^2.23^2.821.3371.39209.3394739.47358559
N=575th Fibonacci Number
By: Silverman 1989
(3) p33=451990098872812878233073602931247
p-1=2.3.7^2.29.1423.55457.1907071.5110913.68921857
N=782^49-1
By: Steward 1999
(4) p32=49858990580788843054012690078841
p-1=2^3.5.13.19.977.1231.4643.74941.1045397.11535449
N=2^977-1
By: Brent
(5) p31=4302886402340485071334706663243
p-1=2.7^2.139.401.129757.183361.488893.67720951
N=303^49-1
By: Steward 1999
(6) p30=174463386657191516033932614401
p-1=2^8.5^2.17.37.1627.5387.68111.152081.477361
N=2^740+1
By: Baillie
Please let me know of any others. I will allow a couple of weeks for
replies and then collate them into an appendix to my website. As you
will note from positions 1, 3 and 5 this is not entirely a detached or
altruistic exercise!
Regards,
Andy
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