8 089 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
72404441628401	14	46.0	old
5193515510413307428627508471511013460440647721	46	151.9	2025-01-06 22:52:34

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	9715 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	39E04C42301F7ACC	1	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	39E04C42301F7ACC	1	2159	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	33CB98B4EFD6C4AA	1	1202	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	33CB98B4EFD6C4AA	1	1215	5	3
Verified	No proof (small exponent)	2025-01-06	nordi	33CB98B4EFD6C4AA	2	4387	5	3

History

Date	User	Type	Result
2025-05-25	masser	NF-PP1	Start=91/37, B1=1300000000, B2=1298700000000
2025-01-06	nordi	C-PRP	M8089/72404441628401/5193515510413307428627508471511013460440647721 : 33CB98B4EFD6C4AA
2025-01-06	nordi	F-ECM	Factor: 5193515510413307428627508471511013460440647721 / ECM curve 400, B1=110000000, B2=6083641994430, Edwards Sigma=5290959397416026
2024-07-01	kkmrkkblmbrbk	C-PRP	M8089/72404441628401 : 33CB98B4EFD6C4AA
2023-05-26	JacobZ	NF-PM1	B1=73000000000, B2=299074993103236350
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8089/72404441628401 : 33CB98B4EFD6C4AA
2017-10-12	kkmrkkblmbrbk	C-PRP	M8089/72404441628401 : 39E04C42301F7ACC
2017-09-21	Oliver Kruse	C-PRP	M8089/72404441628401 : 39E04C42301F7ACC
2017-09-21	Oliver Kruse	C-PRP	M8089/72404441628401 : 39E04C42301F7ACC
1999-05-02	-anonymous-	F-PM1	Factor: 72404441628401