5 431 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
54311	5	15.7	old
1401199	7	20.4	old
6040879577	10	32.5	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	12575 / 16550

Estimated T-Level: 48.8 ⓘ

TF below 2^157 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	A60A0B26B1E5776B	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	A60A0B26B1E5776B	3	2244	1	3
Verified	2020-04-17	Oliver Kruse	53AD84106A8830F0	3	1601	5	3
Verified	2024-02-03	Wentao Huang	53AD84106A8830F0	3	3152	5	3

History

Date	User	Type	Result
2025-05-05	masser	NF-PP1	Start=199/53, B1=2100000000, B2=2097900000000
2024-05-26	mikr	NF-PM1	B1=500000000000, B2=1177314837267769200
2024-02-03	Wentao Huang	C-PRP	M5431/54311/1401199/6040879577 : 53AD84106A8830F0 PRP: Verified PRP without proof (small exponent)
2023-07-09	-Anonymous-	NF-PM1	B1=46000000000, B2=193133522175293700
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2020-04-17	Oliver Kruse	C-PRP	M5431/54311/1401199/6040879577 : 53AD84106A8830F0 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5431/54311/1401199/6040879577 : A60A0B26B1E5776B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5431/54311/1401199/6040879577 : A60A0B26B1E5776B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5431/54311/1401199/6040879577 : A60A0B26B1E5776B PRP without proof (not generated)