12 421 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 7 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
74527	5	16.2	old
53559353	8	25.7	2008-08-26 19:58:36
90418695733153	14	46.4	2008-08-26 19:58:36
788579910954997481	18	59.5	2008-08-26 19:58:36
60490632099801171090526441	26	85.6	2008-10-16 23:57:25
7153727737108154097377407167551	31	102.5	2008-10-25 20:59:11
10536610940307742184552741860681763378053399	44	142.9	2010-03-05 21:47:03

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	8330 / 9201

Estimated T-Level: 44.5 ⓘ

TF below 2^143 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	FE3B260707E697B2	7	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	FE3B260707E697B2	7	0	1	3
Verified	2017-12-07	ATH	FE3B260707E697B2	7	10827	1	3
Verified	2020-04-17	Oliver Kruse	CADC35FCE6BD2704	7	2942	5	3
Verified	2024-07-01	kkmrkkblmbrbk	CADC35FCE6BD2704	7	7033	5	3

P-1 factors

Date	Factor	B1	B2
2021-03-01	646830731619399318987822579528145963056518303	600000	60000000
2022-05-13	10536610940307742184552741860681763378053399	1000000000000	1000381676319425408

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M12421/10536610940307742184552741860681763378053399/53559353/60490632099801171090526441/7153727737108154097377407167551/74527/788579910954997481/90418695733153 : CADC35FCE6BD2704 PRP: Verified PRP without proof (small exponent)
2022-05-13	-Anonymous-	F-PM1	Factor: 10536610940307742184552741860681763378053399 / (P-1, B1=1000000000000, B2=1000381676319425400)
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-03-01	gLauss	F-PM1	Factor: 646830731619399318987822579528145963056518303 / (P-1, B1=600000, B2=60000000)
2021-03-01	gLauss	NF-PM1	B1=60000, B2=6000000
2020-04-17	Oliver Kruse	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : CADC35FCE6BD2704 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : FE3B260707E697B2 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : FE3B260707E697B2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : FE3B260707E697B2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12421/74527/53559353/90418695733153/788579910954997481/60490632099801171090526441/7153727737108154097377407167551/10536610940307742184552741860681763378053399 : FE3B260707E697B2 PRP without proof (not generated)
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-03-05	Never Odd Or Even	F-ECM	Factor: 10536610940307742184552741860681763378053399
2008-10-25	Will Edgington	F-ECM	Factor: 7153727737108154097377407167551
2008-10-16	-Anonymous-	F-ECM	Factor: 60490632099801171090526441
2008-08-26	-Anonymous-	F-ECM	Factor: 788579910954997481
2008-08-26	-Anonymous-	F-PM1	Factor: 90418695733153
2008-08-26	-Anonymous-	F	Factor: 53559353