4 289 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
34313	5	15.1	old
21466966250738169054431	23	74.2	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	16349 / 40830

Estimated T-Level: 52.0 ⓘ

TF below 2^168 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	80D8E9750FAF1972	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	80D8E9750FAF1972	2	1146	1	3
Verified	2020-04-17	Oliver Kruse	A2749D8264283361	2	1390	5	3
Verified	2024-02-03	Wentao Huang	A2749D8264283361	2	2024	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4289/34313/21466966250738169054431 : A2749D8264283361 PRP: Verified PRP without proof (small exponent)
2023-05-20	-Anonymous-	NF-PM1	B1=75000000000, B2=751710476301835050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4289/34313/21466966250738169054431 : A2749D8264283361 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4289/34313/21466966250738169054431 : 80D8E9750FAF1972 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4289/34313/21466966250738169054431 : 80D8E9750FAF1972 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4289/34313/21466966250738169054431 : 80D8E9750FAF1972 PRP without proof (not generated)