2 572 153 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
15432919	8	23.9	old
998612680721	12	39.9	2008-07-14 20:25:06
89412453572251045680239	23	76.2	2024-03-19 08:23:25
91134927161159989565849	23	76.3	2019-01-15 18:51:50

ECM

Digits	B1	Curves
25	50000	103 / 280

Estimated T-Level: 21.8 ⓘ

TF below 2^68 is very unlikely to find new factors due to ECM effort.

Status		Date	User	Residue	Number of known factors	Shift	Type	Base
composite	Verified (Factored)	2017-10-15	Oliver Kruse	22AE8475E269694D	2	212165	5	3
composite	Verified (Factored)	2017-12-01	kkmrkkblmbrbk	22AE8475E269694D	2	2034754	5	3
composite	Verified (Factored)	2019-01-18	ANONYMOUS	22AE8475E269694D	3	513664	5	3
composite	Verified	2024-03-19	Anton Tsvetkov	22AE8475E269694D	4	166215	5	3

P-1 factors

Date	Factor	B1	B2
2019-01-15	91134927161159989565849	2000000	0

History

Date	User	Type	Result
2024-03-19	kakama51	CERT	PRP Certification Proof certified good
2024-03-19	Anton Tsvetkov	C-PRP	M2572153/15432919/998612680721/91134927161159989565849/89412453572251045680239 : 22AE8475E269694D PRP proof power = 7 PRP: Verified Proof certified good
2024-03-19	Anton Tsvetkov	F-ECM	Factor: 89412453572251045680239 / (ECM curve 2, B1=50000, B2=11242140, Edwards Sigma=5157882453594865)
2022-09-01	USAFSS	NF-PM1	B1=360000, B2=317428650
2019-01-18	ANONYMOUS	C-PRP	M2572153/15432919/998612680721/91134927161159989565849 : 22AE8475E269694D PRP: Verified (Factored) PRP without proof (not generated)
2019-01-15	alpertron	F-PM1	Factor: 91134927161159989565849 / (P-1, B1=2000000)
2017-12-01	kkmrkkblmbrbk	C-PRP	M2572153/15432919/998612680721 : 22AE8475E269694D PRP: Verified (Factored) PRP without proof (not generated)
2017-10-15	Oliver Kruse	C-PRP	M2572153/15432919/998612680721 : 22AE8475E269694D PRP: Verified (Factored) PRP without proof (not generated)
2008-07-14	George Woltman	F-ECM	Factor: 998612680721