1 768 381 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
6914369711	10	32.7	old
90425448997088148511	20	66.3	2015-06-05 23:06:36
2166819409688632644137	22	70.9	2020-03-03 17:17:09
21254837041816344530647	23	74.2	2020-03-16 06:03:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	108 / 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	0ADE892BF16C64FD	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-03	Oliver Kruse	130F2B5860AA72B9	2	0	1	3
Verified (Factored)	2017-11-04	kkmrkkblmbrbk	130F2B5860AA72B9	2	1100189	1	3
Verified (Factored)	2020-03-04	Niels_Mache_Nextcloud	0ADE892BF16C64FD	3	1379153	5	3
Verified (Factored)	2020-03-08	oodaira	0ADE892BF16C64FD	3	1202771	5	3
Verified	2020-03-16	Niels_Mache_Nextcloud	0ADE892BF16C64FD	4	1712556	5	3

P-1 factors

Date	Factor	B1	B2
2015-06-05	90425448997088148511	500000	15000000

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	0ADE892BF16C64FD PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2020-03-16	Niels_Mache_Nextcloud	C-PRP	M1768381/6914369711/90425448997088148511/2166819409688632644137/21254837041816344530647 : 0ADE892BF16C64FD PRP: Verified PRP without proof (not generated)
2020-03-16	Niels_Mache_Nextcloud	F-ECM	Factor: 21254837041816344530647 / (ECM curve 2, B1=50000, B2=5000000, Sigma=7201540751901847)
2020-03-08	oodaira	C-PRP	M1768381/6914369711/90425448997088148511/2166819409688632644137 : 0ADE892BF16C64FD PRP: Verified PRP without proof (not generated)
2020-03-04	Niels_Mache_Nextcloud	C-PRP	M1768381/6914369711/90425448997088148511/2166819409688632644137 : 0ADE892BF16C64FD PRP: Verified PRP without proof (not generated)
2020-03-03	Niels_Mache_Nextcloud	F-ECM	Factor: 2166819409688632644137 / (ECM curve 3, B1=50000, B2=5000000, Sigma=5493512946345904)
2017-11-04	kkmrkkblmbrbk	C-PRP	M1768381/6914369711/90425448997088148511 : 130F2B5860AA72B9 PRP: Verified PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1768381/6914369711/90425448997088148511 : 130F2B5860AA72B9 PRP: Verified PRP without proof (not generated)
2015-06-05	alpertron	F-PM1	Factor: 90425448997088148511 / (P-1, B1=500000, B2=15000000, E=12)