1 667 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
13337	5	13.7	old
2493833	7	21.2	old
10975529	8	23.4	old
137507497	9	27.0	old
41371230871657	14	45.2	old
149884935262976855081303041	27	87.0	old
560005054568500775588166252916765532681815343007668219881	57	188.5	2019-11-02 19:32:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	158700 / 194238

Estimated T-Level: 64.1 ⓘ

TF below 2^208 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	6AA1928FDBF7A10D	6	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	6AA1928FDBF7A10D	6	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	6AA1928FDBF7A10D	6	271	1	3
Verified	No proof (small exponent)	2019-11-02	mnd9	1E52297415B7A0F4	7	1342	5	3
Verified	No proof (small exponent)	2019-11-05	Christoph Zenger	1E52297415B7A0F4	7	552	5	3
Verified	No proof (small exponent)	2019-11-08	ynagataorg	1E52297415B7A0F4	7	1020	5	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1E52297415B7A0F4	7	1232	5	3

History

Date	User	Type	Result
2024-03-08	masser	NF-PM1	B1=215000000000, B2=485449242459431250
2022-02-11	LordJulius	NF-PM1	B1=10000000000, B2=503121756337200
2021-07-22	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-04-17	Oliver Kruse	C-PRP	M1667/13337/2493833/10975529/137507497/41371230871657/149884935262976855081303041/560005054568500775588166252916765532681815343007668219881 : 1E52297415B7A0F4
2019-11-08	ynagataorg	C-PRP	M1667/13337/2493833/10975529/137507497/41371230871657/149884935262976855081303041/560005054568500775588166252916765532681815343007668219881 : 1E52297415B7A0F4
2019-11-05	Christoph Zenger	C-PRP	M1667/13337/2493833/10975529/137507497/41371230871657/149884935262976855081303041/560005054568500775588166252916765532681815343007668219881 : 1E52297415B7A0F4
2019-11-02	mnd9	C-PRP	M1667/13337/2493833/10975529/137507497/41371230871657/149884935262976855081303041/560005054568500775588166252916765532681815343007668219881 : 1E52297415B7A0F4
2019-11-02	Ryan Propper	F-ECM	Factor: 560005054568500775588166252916765532681815343007668219881
2017-12-07	ATH	C-PRP	M1667/13337/2493833/10975529/137507497/41371230871657/149884935262976855081303041 : 6AA1928FDBF7A10D
2017-10-02	kkmrkkblmbrbk	C-PRP	M1667/13337/2493833/10975529/137507497/41371230871657/149884935262976855081303041 : 6AA1928FDBF7A10D
2017-09-21	Oliver Kruse	C-PRP	M1667/known_factors : 6AA1928FDBF7A10D
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12