4 409 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
34582608761	11	35.0	old
635624710703	12	39.2	old
3355883813670488143283887	25	81.5	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	16550 / 16550
55	110000000	17299 / 40830

Estimated T-Level: 52.1 ⓘ

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	79E3A7852D285B52	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	79E3A7852D285B52	3	0	1	3
Verified	2017-12-07	ATH	79E3A7852D285B52	3	1469	1	3
Verified	2020-04-17	Oliver Kruse	C842C075EE37041E	3	3211	5	3
Verified	2024-02-03	Wentao Huang	C842C075EE37041E	3	4149	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4409/34582608761/635624710703/3355883813670488143283887 : C842C075EE37041E PRP: Verified PRP without proof (small exponent)
2023-05-22	-Anonymous-	NF-PM1	B1=73000000000, B2=731797616052553050
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4409/34582608761/635624710703/3355883813670488143283887 : C842C075EE37041E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4409/34582608761/635624710703/3355883813670488143283887 : 79E3A7852D285B52 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4409/34582608761/635624710703/3355883813670488143283887 : 79E3A7852D285B52 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4409/known_factors : 79E3A7852D285B52 PRP without proof (not generated)