6 569 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6621553	7	22.7	old
30487070591812397925449	23	74.7	old
4622162883064855430847877756283397943	37	121.8	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1299 / 9201

Estimated T-Level: 40.7 ⓘ

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	9A3DE29E2FA05CA4	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	9A3DE29E2FA05CA4	3	0	1	3
Verified	2017-12-07	ATH	9A3DE29E2FA05CA4	3	5350	1	3
Verified	2020-04-17	Oliver Kruse	6978A4FACEC8DF4C	3	4532	5	3
Verified	2024-02-03	Wentao Huang	6978A4FACEC8DF4C	3	6132	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6569/6621553/30487070591812397925449/4622162883064855430847877756283397943 : 6978A4FACEC8DF4C PRP: Verified PRP without proof (small exponent)
2023-08-09	-Anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1003954060639530
2020-04-17	Oliver Kruse	C-PRP	M6569/6621553/30487070591812397925449/4622162883064855430847877756283397943 : 6978A4FACEC8DF4C PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6569/6621553/30487070591812397925449/4622162883064855430847877756283397943 : 9A3DE29E2FA05CA4 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6569/6621553/30487070591812397925449/4622162883064855430847877756283397943 : 9A3DE29E2FA05CA4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6569/known_factors : 9A3DE29E2FA05CA4 PRP without proof (not generated)