7 901 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
47407	5	15.5	old
442457	6	18.8	old
679487	6	19.4	old
54052096136682432292747785815830169	35	115.4	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6059 / 9201

Estimated T-Level: 43.3 ⓘ

TF below 2^139 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	ACF1980896005D08	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	ACF1980896005D08	4	0	1	3
Verified	2017-12-07	ATH	ACF1980896005D08	4	6910	1	3
Verified	2020-04-17	Oliver Kruse	EFEE1E1816CC4714	4	5949	5	3
Verified	2024-02-03	Wentao Huang	EFEE1E1816CC4714	4	450	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M7901/47407/442457/679487/54052096136682432292747785815830169 : EFEE1E1816CC4714 PRP: Verified PRP without proof (small exponent)
2023-05-22	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2022-10-24	Rubiksmath	NF-PM1	B1=1000000000, B2=1713866304150
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7901/47407/442457/679487/54052096136682432292747785815830169 : EFEE1E1816CC4714 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7901/47407/442457/679487/54052096136682432292747785815830169 : ACF1980896005D08 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7901/47407/442457/679487/54052096136682432292747785815830169 : ACF1980896005D08 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7901/known_factors : ACF1980896005D08 PRP without proof (not generated)