4 139 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
16820897	8	24.0	old
3039351329192941366679	22	71.4	old
826832904495458248613111	24	79.5	old

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	18629 / 40830

Estimated T-Level: 52.3 ⓘ

TF below 2^169 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	F3F46C207B9BFE48	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F3F46C207B9BFE48	3	0	1	3
Verified	2017-12-07	ATH	F3F46C207B9BFE48	3	3970	1	3
Verified	2020-04-17	Oliver Kruse	77CDB011EDA05343	3	1463	5	3
Verified	2024-02-03	Wentao Huang	77CDB011EDA05343	3	2382	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4139/16820897/3039351329192941366679/826832904495458248613111 : 77CDB011EDA05343 PRP: Verified PRP without proof (small exponent)
2023-05-17	-Anonymous-	NF-PM1	B1=78000000000, B2=782159992887753480
2020-04-17	Oliver Kruse	C-PRP	M4139/16820897/3039351329192941366679/826832904495458248613111 : 77CDB011EDA05343 PRP: Verified PRP without proof (small exponent)
2019-02-12	Joss	NF-PM1	B1=10000000000
2019-02-11	Joss	NF-PM1	B1=1000000000
2019-02-10	Joss	NF-PM1	B1=300000000
2017-12-07	ATH	C-PRP	M4139/16820897/3039351329192941366679/826832904495458248613111 : F3F46C207B9BFE48 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4139/16820897/3039351329192941366679/826832904495458248613111 : F3F46C207B9BFE48 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4139/known_factors : F3F46C207B9BFE48 PRP without proof (not generated)