3 167 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
12237289	8	23.5	old
16786468574713	14	43.9	old
44913375485406244351324919324730167	35	115.1	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	15340 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	72611F347AEEDCC0	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	72611F347AEEDCC0	3	0	1	3
Verified	2017-12-07	ATH	72611F347AEEDCC0	3	2032	1	3
Verified	2020-04-17	Oliver Kruse	60719176BCA6C7EA	3	1406	5	3
Verified	2024-02-03	Wentao Huang	60719176BCA6C7EA	3	3120	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3167/12237289/16786468574713/44913375485406244351324919324730167 : 60719176BCA6C7EA PRP: Verified PRP without proof (small exponent)
2022-04-06	mikr	NF-PM1	B1=70000000000, B2=367004699921960100
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3167/12237289/16786468574713/44913375485406244351324919324730167 : 60719176BCA6C7EA PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3167/12237289/16786468574713/44913375485406244351324919324730167 : 72611F347AEEDCC0 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3167/12237289/16786468574713/44913375485406244351324919324730167 : 72611F347AEEDCC0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3167/known_factors : 72611F347AEEDCC0 PRP without proof (not generated)