381 533 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
7966409041	10	32.9	old
9974654888877823	16	53.1	2014-09-05 11:40:28
133882746890807249372159465235243063217	39	126.7	2024-05-27 08:52:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	378 / 640

Estimated T-Level: 28.0 ⓘ

TF below 2^88 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-23	Oliver Kruse	9D8CBFE01DDF0D32	2	0	1	3
Verified (Factored)	2017-11-02	kkmrkkblmbrbk	9D8CBFE01DDF0D32	2	177334	1	3
Verified (Factored)	2020-04-18	Oliver Kruse	4966CE1627F0A962	2	218020	5	3
Verified	2024-05-27	Kevin_9611	4966CE1627F0A962	3	75628	5	3

P-1 factors

Date	Factor	B1	B2
2024-05-27	133882746890807249372159465235243063217	10000000	77000029470

History

Date	User	Type	Result
2024-06-04	Kevin_9611	NF-PM1	B1=15000000, B2=120091810020
2024-05-27	LOBES	CERT	PRP Certification Proof certified good
2024-05-27	Kevin_9611	C-PRP	M381533/7966409041/9974654888877823/133882746890807249372159465235243063217 : 4966CE1627F0A962 PRP proof power = 5 PRP: Verified Proof certified good
2024-05-27	Kevin_9611	F-PM1	Factor: 133882746890807249372159465235243063217 / (P-1, B1=10000000, B2=77000029470)
2024-02-18	Denial140	NF-PM1	B1=1000000, B2=4333488390
2022-02-07	Lisander Viaene	NF-PM1	B1=50000
2020-04-18	Oliver Kruse	C-PRP	M381533/7966409041/9974654888877823 : 4966CE1627F0A962 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-02	kkmrkkblmbrbk	C-PRP	M381533/7966409041/9974654888877823 : 9D8CBFE01DDF0D32 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M381533/7966409041/9974654888877823 : 9D8CBFE01DDF0D32 PRP: Verified (Factored) PRP without proof (not generated)
2014-09-05	TJAOI	F	Factor: 9974654888877823