2 282 867 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
4919798215960633	16	52.1	old
1706655700831322524193	22	70.5	2023-01-29 17:00:56
231244554054506382217363847	27	87.6	2025-04-22 23:45:49

ECM

Digits	B1	Curves
25	50000	247 / 280

Estimated T-Level: 24.4 ⓘ

TF below 2^76 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-11	Oliver Kruse	26798EAFFDB68323	1	0	1	3
Verified (Factored)	2017-11-22	kkmrkkblmbrbk	26798EAFFDB68323	1	1027409	1	3
Verified (Factored)	2023-01-30	Burak Baslar	C95B1794B899902E	2	1098913	5	3
Verified (Factored)	2023-01-31	_p95holder_	C95B1794B899902E	2	437641	5	3
Verified	2025-04-22	JC_Herles	C95B1794B899902E	3	1153424	5	3

History

Date	User	Type	Result
2025-04-23	curtisc	CERT	PRP Certification Proof certified good
2025-04-22	JC_Herles	C-PRP	M2282867/4919798215960633/1706655700831322524193/231244554054506382217363847 : C95B1794B899902E PRP proof power = 7 PRP: Verified Proof certified good
2025-04-22	JC_Herles	F-ECM	Factor: 231244554054506382217363847 / (ECM curve 48, B1=87072, B2=117709515, Edwards Sigma=946392588894978)
2023-01-31	_p95holder_	C-PRP	M2282867/4919798215960633/1706655700831322524193 : C95B1794B899902E PRP: Verified (Factored) PRP without proof (not generated)
2023-01-30	xyuzyz	CERT	PRP Certification Proof certified good
2023-01-30	Burak Baslar	C-PRP	M2282867/4919798215960633/1706655700831322524193 : C95B1794B899902E PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2023-01-29	_p95holder_	F-ECM	Factor: 1706655700831322524193 / (ECM curve 8, B1=50000, B2=5000000)
2017-11-22	kkmrkkblmbrbk	C-PRP	M2282867/4919798215960633 : 26798EAFFDB68323 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-11	Oliver Kruse	C-PRP	M2282867/4919798215960633 : 26798EAFFDB68323 PRP: Verified (Factored) PRP without proof (not generated)
2016-04-13	alpertron	NF-PM1	B1=500000, B2=15000000, E=12