12 437 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
99497	5	16.6	old
596977	6	19.2	2008-08-26 19:58:37
35512186943	11	35.0	2008-08-26 19:58:37
3132786574769	13	41.5	2008-08-26 19:58:37
4947852234297943	16	52.1	2008-08-26 19:58:37
21745607116345964051719	23	74.2	2008-08-29 02:24:30

P-1 factors

Date	Factors	B1	B2
2023-05-21	No new factors discovered	100000000000	120417199046794656

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1481 / 9201

Estimated T-Level: 40.8 ⓘ

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	9ECE5DD5F50C1664	6	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9ECE5DD5F50C1664	6	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	9ECE5DD5F50C1664	6	9285	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	587EBB05BB796911	6	5517	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	587EBB05BB796911	6	3894	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=180/43, B1=430000000, B2=429570000000
2025-02-19	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-18	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12437/21745607116345964051719/3132786574769/35512186943/4947852234297943/596977/99497 : 587EBB05BB796911
2023-05-21	-anonymous-	F-PM1	Factor: 21745607116345964051719 / B1=100000000000, B2=120417199046794650
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M12437/99497/596977/35512186943/3132786574769/4947852234297943/21745607116345964051719 : 587EBB05BB796911
2017-12-07	ATH	C-PRP	M12437/99497/596977/35512186943/3132786574769/4947852234297943/21745607116345964051719 : 9ECE5DD5F50C1664
2017-10-02	kkmrkkblmbrbk	C-PRP	M12437/99497/596977/35512186943/3132786574769/4947852234297943/21745607116345964051719 : 9ECE5DD5F50C1664
2017-09-21	Oliver Kruse	C-PRP	M12437/99497/596977/35512186943/3132786574769/4947852234297943/21745607116345964051719 : 9ECE5DD5F50C1664
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 21745607116345964051719
2008-08-26	-anonymous-	F-PM1	Factor: 4947852234297943
2008-08-26	-anonymous-	F	Factor: 3132786574769
2008-08-26	-anonymous-	F	Factor: 35512186943
2008-08-26	-anonymous-	F	Factor: 596977