12 757 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
76543	5	16.2	old
1837009	7	20.8	2008-08-26 19:58:38
5273895277306879	16	52.2	2008-08-29 02:24:31
157997566959178983335353285871	30	97.0	2017-04-14 21:30:00

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1461 / 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	C02265E9FE63AE49	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	C02265E9FE63AE49	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	C02265E9FE63AE49	4	9086	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C4380FCC8C6ABC58	4	9260	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	C4380FCC8C6ABC58	4	3572	5	3

History

Date	User	Type	Result
2025-03-10	masser	NF-PP1	Start=141/31, 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
2024-07-01	kkmrkkblmbrbk	C-PRP	M12757/157997566959178983335353285871/1837009/5273895277306879/76543 : C4380FCC8C6ABC58
2023-05-24	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2023-05-14	JacobZ	NF-PM1	B1=8700000000, B2=36024966470342850
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12757/76543/1837009/5273895277306879/157997566959178983335353285871 : C4380FCC8C6ABC58
2017-12-07	ATH	C-PRP	M12757/76543/1837009/5273895277306879/157997566959178983335353285871 : C02265E9FE63AE49
2017-10-02	kkmrkkblmbrbk	C-PRP	M12757/76543/1837009/5273895277306879/157997566959178983335353285871 : C02265E9FE63AE49
2017-09-21	Oliver Kruse	C-PRP	M12757/known_factors : C02265E9FE63AE49
2017-04-14	kkmrkkblmbrbk	F-ECM	Factor: 157997566959178983335353285871
2008-08-29	-anonymous-	F	Factor: 5273895277306879
2008-08-26	-anonymous-	F	Factor: 1837009