4 391 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
8783	4	13.1	old
343333147428972738623	21	68.2	old
4164531238216907524637681	25	81.8	old
179116393124968715482530151179128320088101759793391348143	57	186.9	2024-02-01 13:27:06

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	18264 / 40830

Estimated T-Level: 52.2 ⓘ

TF below 2^169 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	439DC83ECEE60949	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	439DC83ECEE60949	3	0	1	3
Verified (Factored)	2017-12-07	ATH	439DC83ECEE60949	3	3840	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	A7BEF8C7EBC706AA	3	2483	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	A7BEF8C7EBC706AA	1	3732	5	3
Verified	2024-02-01	Kevin_9611	A7BEF8C7EBC706AA	4	1699	5	3

History

Date	User	Type	Result
2024-02-01	Kevin_9611	C-PRP	M4391/8783/343333147428972738623/4164531238216907524637681/179116393124968715482530151179128320088101759793391348143 : A7BEF8C7EBC706AA PRP: Verified PRP without proof (small exponent)
2024-02-01	Ryan Propper	F-ECM	Factor: 179116393124968715482530151179128320088101759793391348143 / (ECM curve 10, B1=260000000, B2=8045306279010, Edwards Sigma=3449037539785545)
2023-05-22	-Anonymous-	NF-PM1	B1=73000000000, B2=731797616052553050
2022-05-12	Jorge Coveiro	C-PRP	M4391/8783 : A7BEF8C7EBC706AA PRP: Verified PRP without proof (small exponent)
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4391/8783/343333147428972738623/4164531238216907524637681 : A7BEF8C7EBC706AA PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4391/8783/343333147428972738623/4164531238216907524637681 : 439DC83ECEE60949 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4391/8783/343333147428972738623/4164531238216907524637681 : 439DC83ECEE60949 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4391/known_factors : 439DC83ECEE60949 PRP without proof (not generated)