9 421 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
8573111	7	23.0	old
3876077391550622982922288411125723939300433	43	141.5	2024-07-04 23:04:09

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	4929 / 16550

Estimated T-Level: 46.5 ⓘ

TF below 2^149 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	454D9581FF9752D1	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	454D9581FF9752D1	1	446	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	9F7614192334CFA0	1	2852	5	3
Verified (Factored)	2024-07-01	kkmrkkblmbrbk	9F7614192334CFA0	1	2763	5	3
Verified	2024-07-04	nordi	9F7614192334CFA0	2	6392	5	3

History

Date	User	Type	Result
2024-07-04	nordi	C-PRP	M9421/8573111/3876077391550622982922288411125723939300433 : 9F7614192334CFA0 PRP: Verified PRP without proof (small exponent)
2024-07-04	nordi	F-ECM	Factor: 3876077391550622982922288411125723939300433 / (ECM curve 1354, B1=44000000, B2=1117380000000, Edwards Sigma=8175613361974963)
2024-07-01	kkmrkkblmbrbk	C-PRP	M9421/8573111 : 9F7614192334CFA0 PRP: Verified PRP without proof (small exponent)
2023-07-02	JacobZ	NF-PM1	B1=61000000000, B2=254995794420917550
2022-01-03	Lisander Viaene	NF-PM1	B1=100000000, B2=111748790953800
2020-04-17	Oliver Kruse	C-PRP	M9421/8573111 : 9F7614192334CFA0 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9421/8573111 : 454D9581FF9752D1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9421/8573111 : 454D9581FF9752D1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9421/8573111 : 454D9581FF9752D1 PRP without proof (not generated)