12 037 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
72223	5	16.1	old
2022217	7	20.9	2008-08-26 19:58:36
918212339810542718569633	24	79.6	2008-08-29 02:24:28
104233750878905808940981090128952728693263	42	136.3	2014-09-07 10:10:12

P-1 factors

Date	Factors	B1	B2
2023-04-06	No new factors discovered	100000000000	122192573512709696

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1761 / 9201

Estimated T-Level: 41.0 ⓘ

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	3526C26D12B8AC2E	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	3526C26D12B8AC2E	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	3526C26D12B8AC2E	4	8688	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	54FA4481D1E0E39B	4	4053	5	3
Verified	No proof (small exponent)	2023-05-19	-anonymous-	54FA4481D1E0E39B	4	9633	5	3

History

Date	User	Type	Result
2023-05-19	-anonymous-	C-PRP	M12037/72223/2022217/918212339810542718569633/104233750878905808940981090128952728693263 : 54FA4481D1E0E39B
2023-04-06	-anonymous-	F-PM1	Factors: 104233750878905808940981090128952728693263,918212339810542718569633 / B1=100000000000, B2=122192573512709700
2022-02-25	Kina	NF-PP1	Start=2/7, B1=130000000, B2=10530000000
2020-04-17	Oliver Kruse	C-PRP	M12037/72223/2022217/918212339810542718569633/104233750878905808940981090128952728693263 : 54FA4481D1E0E39B
2017-12-07	ATH	C-PRP	M12037/72223/2022217/918212339810542718569633/104233750878905808940981090128952728693263 : 3526C26D12B8AC2E
2017-10-02	kkmrkkblmbrbk	C-PRP	M12037/72223/2022217/918212339810542718569633/104233750878905808940981090128952728693263 : 3526C26D12B8AC2E
2017-09-21	Oliver Kruse	C-PRP	M12037/72223/2022217/918212339810542718569633/104233750878905808940981090128952728693263 : 3526C26D12B8AC2E
2017-09-21	Oliver Kruse	C-PRP	M12037/72223/2022217/918212339810542718569633/104233750878905808940981090128952728693263 : 3526C26D12B8AC2E
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2014-09-07	BloodIce	F-ECM	Factor: 104233750878905808940981090128952728693263
2008-08-29	-anonymous-	F-ECM	Factor: 918212339810542718569633
2008-08-26	-anonymous-	F	Factor: 2022217