68 521 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
3695668033506191	16	51.7	old
36763515533161463	17	55.0	2009-06-20 03:35:45
4580650888182221047267009639730243394593	40	131.8	2016-12-23 21:26:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	525 / 4588

Estimated T-Level: 35.6 ⓘ

TF below 2^113 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	40C0DEEDCF7A7AB5	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	40C0DEEDCF7A7AB5	3	0	1	3
Verified	2017-12-07	ATH	40C0DEEDCF7A7AB5	3	61123	1	3
Verified	2020-04-17	Oliver Kruse	E3F94C7866D626B9	3	1826	5	3
Verified	2024-02-03	Wentao Huang	E3F94C7866D626B9	3	61551	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-23	4580650888182221047267009639730243394593	100000000	3042014761758

History

Date	User	Type	Result
2024-02-04	masser	NF-PP1	Start=185/23, B1=25000000, B2=1775000000
2024-02-04	masser	NF-PP1	Start=6/5, B1=25000000, B2=1775000000
2024-02-03	Wentao Huang	C-PRP	M68521/3695668033506191/36763515533161463/4580650888182221047267009639730243394593 : E3F94C7866D626B9 PRP: Verified PRP without proof (small exponent)
2024-02-02	masser	NF-PP1	Start=2/7, B1=25000000, B2=1775000000
2022-09-29	George Woltman	NF-PM1	B1=1000000000, B2=95562043236660
2020-04-17	Oliver Kruse	C-PRP	M68521/3695668033506191/36763515533161463/4580650888182221047267009639730243394593 : E3F94C7866D626B9 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M68521/3695668033506191/36763515533161463/4580650888182221047267009639730243394593 : 40C0DEEDCF7A7AB5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M68521/3695668033506191/36763515533161463/4580650888182221047267009639730243394593 : 40C0DEEDCF7A7AB5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M68521/3695668033506191/36763515533161463/4580650888182221047267009639730243394593 : 40C0DEEDCF7A7AB5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M68521/3695668033506191/36763515533161463/4580650888182221047267009639730243394593 : 40C0DEEDCF7A7AB5 PRP without proof (not generated)
2016-12-23	kkmrkkblmbrbk	F-PM1	Factor: 4580650888182221047267009639730243394593 / (P-1, B1=100000000, B2=3042014761758)
2016-11-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-06-20	Matthias Wurtinger	F-ECM	Factor: 36763515533161463