4 036 229 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
183538869108887129	18	57.3	old
271223682782108858959	21	67.9	2022-09-03 07:15:05
418778279685249262282552817	27	88.4	2022-09-06 00:01:36

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	6EBC5501DFEE9437	1	0	1	3
Verified (Factored)	2018-01-07	Oliver Kruse	6EBC5501DFEE9437	1	2268277	1	3
Verified	2022-09-11	Funky Waddle	CECF8F2D52F28DF9	3	1927158	5	3

P-1 factors

Date	Factor	B1	B2
2022-09-03	271223682782108858959	270000	270000
2022-09-06	418778279685249262282552817	540000	347743110

History

Date	User	Type	Result
2022-09-12	MatiasCardullo	CERT	PRP Certification Proof certified good
2022-09-11	Funky Waddle	C-PRP	M4036229/183538869108887129/271223682782108858959/418778279685249262282552817 : CECF8F2D52F28DF9 PRP proof power = 7 PRP: Verified Proof certified good
2022-09-06	USAFSS	F-PM1	Factor: 418778279685249262282552817 / (P-1, B1=540000, B2=347743110)
2022-09-03	USAFSS	F-PM1	Factor: 271223682782108858959 / (P-1, B1=270000)
2018-01-07	Oliver Kruse	C-PRP	M4036229/183538869108887129 : 6EBC5501DFEE9437 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4036229/183538869108887129 : 6EBC5501DFEE9437 PRP: Verified (Factored) PRP without proof (not generated)