2 075 947 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
28761028465932233	17	54.7	old
31371399526257519340343	23	74.7	2024-07-23 10:22:14
566993486456969618466127	24	78.9	2021-08-31 12:06:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	198 / 640

Estimated T-Level: 26.5 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-06	Oliver Kruse	2C3A5A119E2C235B	1	0	1	3
Verified (Factored)	2017-11-16	kkmrkkblmbrbk	2C3A5A119E2C235B	1	805977	1	3
Verified (Factored)	2021-08-31	SRJ2877	893DAE52E0DF84EE	2	1736198	5	3
Verified	2024-07-23	Naegi Makoto	893DAE52E0DF84EE	3	1699736	5	3

History

Date	User	Type	Result
2024-07-23	Bommer	CERT	PRP Certification Proof certified good
2024-07-23	Naegi Makoto	C-PRP	M2075947/28761028465932233/31371399526257519340343/566993486456969618466127 : 893DAE52E0DF84EE PRP proof power = 7 PRP: Verified Proof certified good
2024-07-23	TJAOI	F-ECM	Factor: 31371399526257519340343 / (ECM curve 3, B1=250000, B2=821598855, Edwards Sigma=7126088824796598)
2021-08-31	curtisc	CERT	PRP Certification Proof certified good
2021-08-31	SRJ2877	C-PRP	M2075947/28761028465932233/566993486456969618466127 : 893DAE52E0DF84EE PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2021-08-31	_p95holder_	F-ECM	Factor: 566993486456969618466127 / (ECM curve 5, B1=50000, B2=5000000)
2017-11-16	kkmrkkblmbrbk	C-PRP	M2075947/28761028465932233 : 2C3A5A119E2C235B PRP: Verified (Factored) PRP without proof (not generated)
2017-10-06	Oliver Kruse	C-PRP	M2075947/28761028465932233 : 2C3A5A119E2C235B PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12