1 934 521 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
58035631	8	25.8	old
291396898231	12	38.1	2008-07-15 07:48:24
3162938082760520545127	22	71.4	2019-04-15 02:22:46
18042143977507093133050915207057	32	103.8	2025-06-23 19:19:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	106 / 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)	2025-09-02	Kriesel	3E04041E8F575B6E	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	1A80466B54C9003C	2	0	1	3
Verified (Factored)	2017-11-11	kkmrkkblmbrbk	1A80466B54C9003C	2	546362	1	3
Verified (Factored)	2019-04-16	Chang Chia-Tche	3E04041E8F575B6E	3	751470	5	3
Verified (Factored)	2019-04-18	oodaira	3E04041E8F575B6E	3	211709	5	3
Verified	2025-06-23	alex4	3E04041E8F575B6E	4	91685	5	3

P-1 factors

Date	Factor	B1	B2
2025-06-23	18042143977507093133050915207057	7738098	67191974850

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	3E04041E8F575B6E PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2025-06-23	MersennePrimesFinder	CERT	PRP Certification Proof certified good
2025-06-23	alex4	C-PRP	M1934521/58035631/291396898231/3162938082760520545127/18042143977507093133050915207057 : 3E04041E8F575B6E PRP proof power = 7 PRP: Verified Proof certified good
2025-06-23	alex4	F-PM1	Factor: 18042143977507093133050915207057 / (P-1, B1=7738098, B2=67191974850)
2019-04-18	oodaira	C-PRP	M1934521/58035631/291396898231/3162938082760520545127 : 3E04041E8F575B6E PRP: Verified (Factored) PRP without proof (not generated)
2019-04-16	Chang Chia-Tche	C-PRP	M1934521/58035631/291396898231/3162938082760520545127 : 3E04041E8F575B6E PRP: Verified (Factored) PRP without proof (not generated)
2019-04-15	ATH	F-ECM	Factor: 3162938082760520545127 / (ECM curve 1, B1=50000, B2=5000000, Sigma=7948747989947885)
2017-11-11	kkmrkkblmbrbk	C-PRP	M1934521/58035631/291396898231 : 1A80466B54C9003C PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1934521/58035631/291396898231 : 1A80466B54C9003C PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-07-15	J Feitsma	F	Factor: 291396898231