ECM to 2/9 of SNFS difficulty
SNFS sieving by RSALS
Post Processing by Carlos Pinho

[code]
1021^79-1
prp98 factor: 29253155105906086397620536467516702137680897584581377664798575321286276782973489714844801268294959
prp109 factor: 4445730669125648604361524705603862722492734562977258936072008201100853561417430246913809500279610236838988387
[/code]

Nice split of cofactor (8334^28+1)/188819037213319761022537369
 

One more nice split:
(8334^28+1)/188819037213319761022537369=
643489538601548721252949577 (27 digits)*
8379548778165272526202573729 (28 digits)*
59715900857558758416580231361 (29 digits).
:smile:

ECM to 2/9 of SNFS difficulty
SNFS sieving by RSALS
Post Processing by Carlos Pinho

[code]
1051^71-1
prp79 factor: 1394137841892962708426849414987378354621618854941646916744478873632454561666701
prp83 factor: 14516418949882526784284314000044090272544023674528271484849466504626996668579178433
[/code]

ECM to 2/9 of SNFS difficulty
SNFS sieving by RSALS
Post Processing by Carlos Pinho

[code]
698419^37-1
prp52 factor: 3441903147967259634652817599649797144707315263121463
prp73 factor: 2488783324479123071833524387582240669015477908804429027213454391544177639
prp87 factor: 285359626160097540667963520524236804207448884933867414038156110601678892965802705606713

[/code]

From the most wanted list: (412891^31-1)/412890 via SNFS [code]prp58 factor: 3348980553612033906616729376356766654226343296701610600881
prp111 factor: 891560705370590043706187371024634427620709257282489942112531445970509935642650784134915022294428088476185877501[/code]

(3^346+5)/202
 

[CODE]
r1=131131175277208227927012848490753758302160516713022225069 (pp57)
r2=45803304332745410373455159617499587353888368330419941273348921839725003577452881893344888637873205550658743 (pp107)
[/CODE]
All SNFS phases (except polynomial selection) had being done with my PC.

From the Most Wanted: 1051^61-1:[code]prp55 factor: 5550691379679689535488393702921991365409169493637159643
prp127 factor: 3566393811765402626078530414171959394402809399627470773723939540316509219849135281886894358003932166354509128240517122822978427[/code]

ECM to 2/9 of SNFS difficulty
SNFS sieving by RSALS
Post Processing by Carlos Pinho

[code]
293^97-1
prp56 factor: 55908474439960542202267322273601202180965470020196913283
prp138 factor: 665896940113139540502248718205373901305303877262977791399099049904202858806785732555009710795011327218483678125610118678289478398593013327
[/code]

From t600:[code]44100642577839919818202731138914143913816040191887003455832783330795836761673561552133^3-1
prp47 factor: 35856088355217918175822095814698183133403788957
prp60 factor: 189000292045788863534923816103904587181996761982035821692637
[/code]

From the MW #2 list:

(2713^53-1)/2712[code]prp56 factor: 13306420577868473195894803245899601947103073331228621021
prp124 factor: 2603083731911287141769706923476113223115415025996782859445138385397304150866680711791269637520149905514260553847377606898601[/code]

ECM to 2/9 of SNFS difficulty
SNFS sieving by RSALS
Post Processing by Carlos Pinho

[code]
383^89-1
prp59 factor: 44102238881766294519842132451093218833949468729411938595419
prp152 factor: 58907171197729622673214179466525994211965325379772457438396752162738283551247271182132762163377656763656756785641354460898468768349823957348162881876557
[/code]