197 311 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
74583559	8	26.2	old
2356261775381521321969173257	28	90.9	2017-05-19 16:17:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	192 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	BD61BE0C420F1AA1	2	0	1	3
Verified	2017-09-30	alpertron	BD61BE0C420F1AA1	2	0	1	3
Verified	2017-12-07	ATH	BD61BE0C420F1AA1	2	93454	1	3
Verified	2020-04-17	Oliver Kruse	369628C6D27E724A	2	25352	5	3
Verified	2023-08-24	USAFSS	369628C6D27E724A	2	130136	5	3

History

Date	User	Type	Result
2023-08-24	John Dalbec	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M197311/74583559/2356261775381521321969173257 : 369628C6D27E724A PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M197311/74583559/2356261775381521321969173257 : 369628C6D27E724A PRP: Verified PRP without proof (small exponent)
2020-04-06	Daniil Tsarkov	F-ECM	Factor: 74583559 / (ECM curve 1, B1=250000, B2=25000000)
2017-12-07	ATH	C-PRP	M197311/74583559/2356261775381521321969173257 : BD61BE0C420F1AA1 PRP: Verified PRP without proof (small exponent)
2017-09-30	alpertron	C-PRP	M197311/2356261775381521321969173257/74583559 : BD61BE0C420F1AA1 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M197311/74583559/2356261775381521321969173257 : BD61BE0C420F1AA1 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M197311/74583559/2356261775381521321969173257 : BD61BE0C420F1AA1 PRP without proof (not generated)
2017-09-18	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2017-05-19	TJAOI	F-ECM	Factor: 2356261775381521321969173257 / (ECM curve 13, B1=250000, B2=25000000)