10 889 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
7584754729	10	32.8	old
551226047514193	15	49.0	2008-08-26 19:58:33
79539484737017449	17	56.1	2008-08-26 19:58:33
5428662627202700153	19	62.2	2008-08-29 02:24:26
56078632761703149814934431702459439	35	115.4	2015-04-13 23:28:38
1877843860125319586634513107113197121	37	120.5	2010-04-18 16:20:43

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2251 / 9201

Estimated T-Level: 41.2 ⓘ

TF below 2^132 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	02154CAF371D6745	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	02154CAF371D6745	6	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	02154CAF371D6745	6	2120	1	3
Verified	2020-04-17	Oliver Kruse	0C0DC8D49FF65D50	6	2486	5	3
Verified	2024-07-01	kkmrkkblmbrbk	0C0DC8D49FF65D50	6	1360	5	3

P-1 factors

Date	Factor	B1	B2
2022-04-15	5428662627202700153	10000000000	13053832591800
2022-04-15	5428662627202700153	10000000000	1004719978792530
2022-12-29	5428662627202700153	100000000000	122192573512709696

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10889/1877843860125319586634513107113197121/5428662627202700153/551226047514193/56078632761703149814934431702459439/7584754729/79539484737017449 : 0C0DC8D49FF65D50 PRP: Verified PRP without proof (small exponent)
2022-12-29	Anton Repko	F-PM1	Factor: 5428662627202700153 / (P-1, B1=100000000000, B2=122192573512709700)
2022-04-15	Joss	F-PM1	Factor: 1805289676651156930285292463934093702869847415913148546374809 / (P-1, B1=10000000000, B2=1004719978792530)
2022-04-15	Joss	F-PM1	Factor: 1805289676651156930285292463934093702869847415913148546374809 / (P-1, B1=10000000000, B2=13053832591800)
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M10889/7584754729/551226047514193/79539484737017449/5428662627202700153/56078632761703149814934431702459439/1877843860125319586634513107113197121 : 0C0DC8D49FF65D50 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10889/7584754729/551226047514193/79539484737017449/5428662627202700153/56078632761703149814934431702459439/1877843860125319586634513107113197121 : 02154CAF371D6745 PRP: Verified PRP without proof (not generated)
2017-10-02	kkmrkkblmbrbk	C-PRP	M10889/7584754729/551226047514193/79539484737017449/5428662627202700153/56078632761703149814934431702459439/1877843860125319586634513107113197121 : 02154CAF371D6745 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10889/7584754729/551226047514193/79539484737017449/5428662627202700153/1877843860125319586634513107113197121/56078632761703149814934431702459439 : 02154CAF371D6745 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10889/7584754729/551226047514193/79539484737017449/5428662627202700153/1877843860125319586634513107113197121/56078632761703149814934431702459439 : 02154CAF371D6745 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-04-18	James Hintz	F-ECM	Factor: 1877843860125319586634513107113197121
2008-08-29	-Anonymous-	F-ECM	Factor: 5428662627202700153
2008-08-26	-Anonymous-	F-ECM	Factor: 79539484737017449
2008-08-26	-Anonymous-	F-PM1	Factor: 551226047514193