202 817 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
114794423	9	26.8	old
1003216848239	13	39.9	2008-07-21 09:13:47
133393569502038443167	21	66.9	2014-07-28 13:45:47
180766475171163948119847073946806240447	39	127.1	2022-02-05 18:36:58

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	628 / 640

Estimated T-Level: 29.9 ⓘ

TF below 2^94 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	B11BEE9ABDA55AF8	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	B11BEE9ABDA55AF8	3	82831	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	D1BB9CDFD1375148	3	85997	5	3
Verified	2022-02-06	Oliver Kruse	D1BB9CDFD1375148	4	12469	5	3
Verified	2023-08-03	USAFSS	D1BB9CDFD1375148	4	88499	5	3

P-1 factors

Date	Factor	B1	B2
2022-02-05	180766475171163948119847073946806240447	30000000	10264076402580

History

Date	User	Type	Result
2023-08-03	slandrum	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M202817/114794423/1003216848239/133393569502038443167/180766475171163948119847073946806240447 : D1BB9CDFD1375148 PRP proof power = 5 PRP: Verified Proof certified good
2022-02-06	LOBES	CERT	PRP Certification Proof certified good
2022-02-06	Oliver Kruse	C-PRP	M202817/114794423/1003216848239/133393569502038443167/180766475171163948119847073946806240447 : D1BB9CDFD1375148 PRP proof power = 5 PRP: Verified Proof certified good
2022-02-05	Oliver Kruse	F-PM1	Factor: 180766475171163948119847073946806240447 / (P-1, B1=30000000, B2=10264076402580)
2021-05-03	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M202817/114794423/1003216848239/133393569502038443167 : D1BB9CDFD1375148 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M202817/114794423/1003216848239/133393569502038443167 : B11BEE9ABDA55AF8 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M202817/known_factors : B11BEE9ABDA55AF8 PRP without proof (not generated)
2014-07-28	TJAOI	F-ECM	Factor: 133393569502038443167
2008-07-21	J Feitsma	F	Factor: 1003216848239