12 923 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
25847	5	14.7	old
261251369	9	28.0	2008-08-26 19:58:39
386661555691945291546137631	27	88.3	2008-11-22 12:25:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1585 / 9201

Estimated T-Level: 40.9 ⓘ

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	1F54FD310FD23EA1	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1F54FD310FD23EA1	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	1F54FD310FD23EA1	3	4173	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	06C48EEE5343103B	3	11020	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	06C48EEE5343103B	1	9647	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	06C48EEE5343103B	3	5329	5	3

History

Date	User	Type	Result
2025-03-07	masser	NF-PP1	Start=111/43, B1=430000000, B2=429570000000
2025-02-15	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-16	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12923/25847/261251369/386661555691945291546137631 : 06C48EEE5343103B
2023-10-10	Anton Repko	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-15	JacobZ	NF-PM1	B1=8500000000, B2=33523232658715800
2022-05-12	Jorge Coveiro	C-PRP	M12923/25847 : 06C48EEE5343103B
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12923/25847/261251369/386661555691945291546137631 : 06C48EEE5343103B
2017-12-07	ATH	C-PRP	M12923/25847/261251369/386661555691945291546137631 : 1F54FD310FD23EA1
2017-10-02	kkmrkkblmbrbk	C-PRP	M12923/25847/261251369/386661555691945291546137631 : 1F54FD310FD23EA1
2017-09-21	Oliver Kruse	C-PRP	M12923/25847/261251369/386661555691945291546137631 : 1F54FD310FD23EA1
2017-09-21	Oliver Kruse	C-PRP	M12923/25847/261251369/386661555691945291546137631 : 1F54FD310FD23EA1
2008-11-22	-anonymous-	F-ECM	Factor: 386661555691945291546137631
2008-08-26	-anonymous-	F	Factor: 261251369