12 973 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
931403108846026277537	21	69.7	old
660502576080108601154028139603164147481	39	129.0	2023-05-26 15:29:27

P-1 factors

Date	Factors	B1	B2
2023-10-10	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1598 / 9201

Estimated T-Level: 40.9 ⓘ

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
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	952F81BBF9790717	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	952F81BBF9790717	1	11340	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	343BE2974D96426E	1	1079	5	3
Verified	No proof (small exponent)	2023-05-26	Denial140	343BE2974D96426E	2	6722	5	3
Verified	No proof (small exponent)	2023-05-27	Denial140	343BE2974D96426E	2	751	5	3

History

Date	User	Type	Result
2025-03-02	masser	NF-PP1	Start=191/11, B1=430000000, B2=429570000000
2025-02-15	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-16	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-10-10	-anonymous-	F-PM1	Factor: 931403108846026277537 / B1=100000000000, B2=122154521813133810
2023-05-27	Denial140	C-PRP	M12973/931403108846026277537/660502576080108601154028139603164147481 : 343BE2974D96426E
2023-05-26	Denial140	C-PRP	M12973/931403108846026277537/660502576080108601154028139603164147481 : 343BE2974D96426E
2023-05-26	Denial140	F-ECM	Factor: 660502576080108601154028139603164147481 / ECM curve 74, B1=3000000, B2=22972799850, Montgomery Sigma=2904326716892619
2023-05-16	JacobZ	NF-PM1	B1=8500000000, B2=33523232658715800
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12973/931403108846026277537 : 343BE2974D96426E
2017-10-12	kkmrkkblmbrbk	C-PRP	M12973/931403108846026277537 : 952F81BBF9790717
2017-09-21	Oliver Kruse	C-PRP	M12973/931403108846026277537 : 952F81BBF9790717
2017-09-21	Oliver Kruse	C-PRP	M12973/931403108846026277537 : 952F81BBF9790717