6 089 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
52969672361	11	35.6	old
3610257465003958313	19	61.6	old
31112441653664044871	20	64.8	old
161336598630010824191	21	67.1	old
58169983252426617574567	23	75.6	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	3864 / 16550

Estimated T-Level: 46.2 ⓘ

TF below 2^148 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	E538185B3A879D94	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	E538185B3A879D94	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	E538185B3A879D94	5	3440	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	22271B889494D5C6	5	2923	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	22271B889494D5C6	5	1741	5	3

History

Date	User	Type	Result
2025-03-17	masser	NF-PP1	Start=155/37, B1=1000000000, B2=999000000000
2025-03-08	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-02-28	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6089/52969672361/3610257465003958313/31112441653664044871/161336598630010824191/58169983252426617574567 : 22271B889494D5C6
2023-07-28	-anonymous-	NF-PM1	B1=41000000000, B2=167114967216697500
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M6089/52969672361/3610257465003958313/31112441653664044871/161336598630010824191/58169983252426617574567 : 22271B889494D5C6
2017-12-07	ATH	C-PRP	M6089/52969672361/3610257465003958313/31112441653664044871/161336598630010824191/58169983252426617574567 : E538185B3A879D94
2017-10-02	kkmrkkblmbrbk	C-PRP	M6089/52969672361/3610257465003958313/31112441653664044871/161336598630010824191/58169983252426617574567 : E538185B3A879D94
2017-09-21	Oliver Kruse	C-PRP	M6089/known_factors : E538185B3A879D94