4 903 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
49031	5	15.6	old
13973551	8	23.7	old
190698053327535799	18	57.4	old
7808487375436398373313	22	72.7	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	12895 / 40830

Estimated T-Level: 51.6 ⓘ

TF below 2^166 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	E176B1B3CAEE00FD	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	E176B1B3CAEE00FD	4	0	1	3
Verified	2017-12-07	ATH	E176B1B3CAEE00FD	4	2434	1	3
Verified	2020-04-17	Oliver Kruse	E830E1C359376BA3	4	2005	5	3
Verified	2024-02-03	Wentao Huang	E830E1C359376BA3	4	2907	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4903/49031/13973551/190698053327535799/7808487375436398373313 : E830E1C359376BA3 PRP: Verified PRP without proof (small exponent)
2023-05-30	-Anonymous-	NF-PM1	B1=64000000000, B2=642189744639793350
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4903/49031/13973551/190698053327535799/7808487375436398373313 : E830E1C359376BA3 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4903/49031/13973551/190698053327535799/7808487375436398373313 : E176B1B3CAEE00FD PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4903/49031/13973551/190698053327535799/7808487375436398373313 : E176B1B3CAEE00FD PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4903/known_factors : E176B1B3CAEE00FD PRP without proof (not generated)