12 689 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
4344586711	10	32.0	old
252072481834745674199	21	67.8	2008-08-29 02:24:31
2272966120148022926328459878148777487	37	120.8	2019-05-06 22:44:45

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1449 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	7DD9D8B14A3E64E4	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	7DD9D8B14A3E64E4	2	2205	1	3
Verified	No proof (small exponent)	2019-05-07	Niels_Mache_Nextcloud	047F02C7DA8EAA0D	3	9449	5	3
Verified	No proof (small exponent)	2019-05-07	matzetoni	047F02C7DA8EAA0D	3	6153	5	3
Verified	No proof (small exponent)	2019-05-08	kkmrkkblmbrbk	047F02C7DA8EAA0D	3	6981	5	3

History

Date	User	Type	Result
2025-03-05	masser	NF-PP1	Start=139/31, B1=430000000, B2=429570000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-17	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-22	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2019-05-08	kkmrkkblmbrbk	C-PRP	M12689/4344586711/252072481834745674199/2272966120148022926328459878148777487 : 047F02C7DA8EAA0D
2019-05-07	matzetoni	C-PRP	M12689/4344586711/252072481834745674199/2272966120148022926328459878148777487 : 047F02C7DA8EAA0D
2019-05-07	Niels_Mache_Nextcloud	C-PRP	M12689/4344586711/252072481834745674199/2272966120148022926328459878148777487 : 047F02C7DA8EAA0D
2019-05-06	nordi	F-ECM	Factor: 2272966120148022926328459878148777487
2017-10-12	kkmrkkblmbrbk	C-PRP	M12689/4344586711/252072481834745674199 : 7DD9D8B14A3E64E4
2017-09-21	Oliver Kruse	C-PRP	M12689/4344586711/252072481834745674199 : 7DD9D8B14A3E64E4
2017-09-21	Oliver Kruse	C-PRP	M12689/4344586711/252072481834745674199 : 7DD9D8B14A3E64E4
2008-08-29	-anonymous-	F-ECM	Factor: 252072481834745674199