8 081 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
3498814409	10	31.7	old
36263568311	11	35.1	old
56994371767	11	35.7	old
272050792367	12	38.0	old
1343743045821830104657	22	70.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	8864 / 9201

Estimated T-Level: 44.8 ⓘ

TF below 2^144 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	7023AB48E1D93BF5	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	7023AB48E1D93BF5	5	0	1	3
Verified	2017-12-07	ATH	7023AB48E1D93BF5	5	3079	1	3
Verified	2020-04-17	Oliver Kruse	154003DB2731B826	5	3290	5	3
Verified	2024-07-01	kkmrkkblmbrbk	154003DB2731B826	5	6878	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8081/1343743045821830104657/272050792367/3498814409/36263568311/56994371767 : 154003DB2731B826 PRP: Verified PRP without proof (small exponent)
2023-05-27	JacobZ	NF-PM1	B1=73000000000, B2=299074993103236350
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8081/3498814409/36263568311/56994371767/272050792367/1343743045821830104657 : 154003DB2731B826 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8081/3498814409/36263568311/56994371767/272050792367/1343743045821830104657 : 7023AB48E1D93BF5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8081/3498814409/36263568311/56994371767/272050792367/1343743045821830104657 : 7023AB48E1D93BF5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8081/known_factors : 7023AB48E1D93BF5 PRP without proof (not generated)