6 029 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
84407	5	16.4	old
249359441	9	27.9	old
2486223981539415014581153	25	81.0	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	13613 / 16550

Estimated T-Level: 49.1 ⓘ

TF below 2^158 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	8CFEEF4193DA691D	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	8CFEEF4193DA691D	3	0	1	3
Verified	2017-12-07	ATH	8CFEEF4193DA691D	3	5482	1	3
Verified	2020-04-17	Oliver Kruse	EF07AE17E9BFC67E	3	2148	5	3
Verified	2024-02-03	Wentao Huang	EF07AE17E9BFC67E	3	4331	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6029/84407/249359441/2486223981539415014581153 : EF07AE17E9BFC67E PRP: Verified PRP without proof (small exponent)
2023-07-26	-Anonymous-	NF-PM1	B1=41000000000, B2=167114967216697500
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M6029/84407/249359441/2486223981539415014581153 : EF07AE17E9BFC67E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6029/84407/249359441/2486223981539415014581153 : 8CFEEF4193DA691D PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6029/84407/249359441/2486223981539415014581153 : 8CFEEF4193DA691D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6029/known_factors : 8CFEEF4193DA691D PRP without proof (not generated)