6 089 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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	1429 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	E538185B3A879D94	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	E538185B3A879D94	5	0	1	3
Verified	2017-12-07	ATH	E538185B3A879D94	5	3440	1	3
Verified	2020-04-17	Oliver Kruse	22271B889494D5C6	5	2923	5	3
Verified	2024-02-03	Wentao Huang	22271B889494D5C6	5	1741	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6089/52969672361/3610257465003958313/31112441653664044871/161336598630010824191/58169983252426617574567 : 22271B889494D5C6 PRP: Verified PRP without proof (small exponent)
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 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6089/52969672361/3610257465003958313/31112441653664044871/161336598630010824191/58169983252426617574567 : E538185B3A879D94 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6089/52969672361/3610257465003958313/31112441653664044871/161336598630010824191/58169983252426617574567 : E538185B3A879D94 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6089/known_factors : E538185B3A879D94 PRP without proof (not generated)