1 056 217 Exponent Status

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GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
283199239343	12	38.0	old
1288466443697	13	40.2	2008-07-16 09:30:45
141632985301975751	18	57.0	2014-12-19 11:19:26
82704294631194700571831	23	76.1	2017-02-17 16:11:19
3282265974936072673269113	25	81.4	2014-12-19 11:19:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-01	Kriesel	2F4896EB89662E74	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-10-05	Oliver Kruse	3E3EB7632E63A84E	5	0	1	3
Verified	2017-10-16	Oliver Kruse	3E3EB7632E63A84E	5	53808	1	3
Verified	2017-12-28	ATH	3E3EB7632E63A84E	5	224558	1	3

P-1 factors

Date	Factor	B1	B2
2014-12-19	141632985301975751	300000	10000000
2014-12-19	3282265974936072673269113	300000	10000000

History

Date	User	Type	Result
2025-09-02	Thomas Streda	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	2F4896EB89662E74 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2021-09-01	ViliamF	NF-PM1	B1=10000000, B2=1110000000
2017-12-28	ATH	C-PRP	M1056217/283199239343/1288466443697/141632985301975751/82704294631194700571831/3282265974936072673269113 : 3E3EB7632E63A84E PRP: Verified PRP without proof (not generated)
2017-10-16	Oliver Kruse	C-PRP	M1056217/283199239343/1288466443697/141632985301975751/3282265974936072673269113/82704294631194700571831 : 3E3EB7632E63A84E PRP: Verified PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1056217/283199239343/1288466443697/141632985301975751/3282265974936072673269113/82704294631194700571831 : 3E3EB7632E63A84E PRP: Verified PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M1056217/283199239343/1288466443697/141632985301975751/3282265974936072673269113/82704294631194700571831 : 3E3EB7632E63A84E PRP without proof (not generated)
2017-02-17	TJAOI	F-ECM	Factor: 82704294631194700571831 / (ECM curve 138, B1=50000, B2=5000000)
2014-12-19	alpertron	F-PM1	Factor: 464877128585295889655101904993323023278863 / (P-1, B1=300000, B2=10000000, E=12)
2008-07-16	J Feitsma	F	Factor: 1288466443697