11 923 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
54654960463	11	35.7	old
46082189060507113	17	55.4	2008-08-29 02:24:28

P-1 factors

Date	Factors	B1	B2
2023-04-06	No new factors discovered	100000000000	122192573512709696

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1914 / 9201

Estimated T-Level: 41.0 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	415E876245E1F60E	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	415E876245E1F60E	2	136	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	236DFE5C6B1EE204	2	4653	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	236DFE5C6B1EE204	2	1595	5	3

History

Date	User	Type	Result
2025-03-10	masser	NF-PP1	Start=91/61, B1=430000000, B2=429570000000
2025-03-01	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11923/46082189060507113/54654960463 : 236DFE5C6B1EE204
2023-04-06	Anton Repko	F-PM1	Factor: 46082189060507113 / B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M11923/54654960463/46082189060507113 : 236DFE5C6B1EE204
2017-10-12	kkmrkkblmbrbk	C-PRP	M11923/54654960463/46082189060507113 : 415E876245E1F60E
2017-09-21	Oliver Kruse	C-PRP	M11923/54654960463/46082189060507113 : 415E876245E1F60E
2017-09-21	Oliver Kruse	C-PRP	M11923/54654960463/46082189060507113 : 415E876245E1F60E
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-02-05	Oscar Östlin	F	Factor: 46082189060507113
2011-02-05	Oscar Östlin	F	Factor: 2518620221150507375745273319
2008-08-29	-anonymous-	F-ECM	Factor: 46082189060507113