46 643 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
93287	5	16.5	old
37001917640329578767	20	65.0	2008-08-29 02:24:51
8935342538629812547072529	25	82.9	2016-11-29 06:02:42
297851185497391233914109634149701754889	39	127.8	2023-04-29 00:38:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	683 / 4588

Estimated T-Level: 35.7 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	DB5E1D66601B3C54	3	0	1	3
Verified (Factored)	2017-09-21	Oliver Kruse	DB5E1D66601B3C54	3	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	DB5E1D66601B3C54	3	3488	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	4EFE31A8DB3068A8	3	17305	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	4EFE31A8DB3068A8	1	5285	5	3
Verified	2023-04-29	JacobZ	4EFE31A8DB3068A8	4	38656	5	3

P-1 factors

Date	Factor	B1	B2
2016-11-29	8935342538629812547072529	100000000	3042014761758
2023-04-29	297851185497391233914109634149701754889	760000000	537271789304250

History

Date	User	Type	Result
2024-12-15	masser	NF-PP1	Start=120/53, B1=45000000, B2=44955000000
2024-12-11	masser	NF-PP1	Start=6/5, B1=45000000, B2=44955000000
2024-11-29	masser	NF-PP1	Start=2/7, B1=45000000, B2=44955000000
2023-04-29	JacobZ	C-PRP	M46643/93287/37001917640329578767/8935342538629812547072529/297851185497391233914109634149701754889 : 4EFE31A8DB3068A8 PRP: Verified PRP without proof (small exponent)
2023-04-29	JacobZ	F-PM1	Factor: 297851185497391233914109634149701754889 / (P-1, B1=760000000, B2=537271789304250)
2022-05-12	Jorge Coveiro	C-PRP	M46643/93287 : 4EFE31A8DB3068A8 PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M46643/93287/37001917640329578767/8935342538629812547072529 : 4EFE31A8DB3068A8 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M46643/93287/37001917640329578767/8935342538629812547072529 : DB5E1D66601B3C54 PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M46643/93287/37001917640329578767/8935342538629812547072529 : DB5E1D66601B3C54 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M46643/93287/37001917640329578767/8935342538629812547072529 : DB5E1D66601B3C54 PRP without proof (not generated)
2016-11-29	kkmrkkblmbrbk	F-PM1	Factor: 8935342538629812547072529 / (P-1, B1=100000000, B2=3042014761758)
2016-09-26	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 37001917640329578767