2 081 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
266369	6	18.0	old
3308791	7	21.7	old
3874823	7	21.9	old
7920287	7	22.9	old
1279128271	10	30.3	old
52648838113727	14	45.6	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	16550 / 16550
55	110000000	40830 / 40830
60	260000000	62338 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 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	ACE65545FE452903	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	ACE65545FE452903	6	0	1	3
Verified	2017-12-07	ATH	ACE65545FE452903	6	631	1	3
Verified	2020-04-17	Oliver Kruse	0FD4D416D85A3174	6	1088	5	3
Verified	2024-01-27	Wentao Huang	0FD4D416D85A3174	6	1457	5	3

History

Date	User	Type	Result
2024-04-20	Ethan O'Connor	NF-PM1	B1=1000000, B2=273044951789610
2024-04-17	masser	NF-PM1	B1=100000000000, B2=281073562398078450
2024-01-27	Wentao Huang	C-PRP	M2081/266369/3308791/3874823/7920287/1279128271/52648838113727 : 0FD4D416D85A3174 PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M2081/266369/3308791/3874823/7920287/1279128271/52648838113727 : 0FD4D416D85A3174 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2081/266369/3308791/3874823/7920287/1279128271/52648838113727 : ACE65545FE452903 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2081/266369/3308791/3874823/7920287/1279128271/52648838113727 : ACE65545FE452903 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2081/known_factors : ACE65545FE452903 PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12