12 263 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
24527	5	14.6	old
62609788558703832864518551659542167	35	115.6	2010-04-04 17:10:20

P-1 factors

Date	Factors	B1	B2
2023-04-06	No new factors discovered	100000000000	120447384588771232

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1580 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	A7C45326CF4BDDB3	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A7C45326CF4BDDB3	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	A7C45326CF4BDDB3	2	9691	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A95DFD1DF19378DF	2	2467	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	A95DFD1DF19378DF	1	8612	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A95DFD1DF19378DF	2	519	5	3

History

Date	User	Type	Result
2025-03-07	masser	NF-PP1	Start=77/23, B1=430000000, B2=429570000000
2025-02-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-19	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M12263/24527/62609788558703832864518551659542167 : A95DFD1DF19378DF
2023-04-06	-anonymous-	F-PM1	Factor: 62609788558703832864518551659542167 / B1=100000000000, B2=120447384588771240
2022-05-12	Jorge Coveiro	C-PRP	M12263/24527 : A95DFD1DF19378DF
2020-04-17	Oliver Kruse	C-PRP	M12263/24527/62609788558703832864518551659542167 : A95DFD1DF19378DF
2017-12-07	ATH	C-PRP	M12263/24527/62609788558703832864518551659542167 : A7C45326CF4BDDB3
2017-10-02	kkmrkkblmbrbk	C-PRP	M12263/24527/62609788558703832864518551659542167 : A7C45326CF4BDDB3
2017-09-21	Oliver Kruse	C-PRP	M12263/24527/62609788558703832864518551659542167 : A7C45326CF4BDDB3
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2010-04-04	James Hintz	F-ECM	Factor: 62609788558703832864518551659542167