2 711 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
585577	6	19.2	old
76954447	8	26.2	old
534990147880228783308124920535532393211151	42	138.6	2015-08-04 22:31:26
5990246267035129980843479286967237252016494899689	49	162.0	2015-08-03 13:17:07

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	7044 / 40830

Estimated T-Level: 50.9 ⓘ

TF below 2^164 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	4E8993BA8F79D21F	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	4E8993BA8F79D21F	4	0	1	3
Verified	2017-12-07	ATH	4E8993BA8F79D21F	4	937	1	3
Verified	2020-04-17	Oliver Kruse	A8081B506B13BDB0	4	1505	5	3
Verified	2024-02-03	Wentao Huang	A8081B506B13BDB0	4	629	5	3

History

Date	User	Type	Result
2024-06-11	masser	NF-PM1	B1=100000000000, B2=113406558342727650
2024-02-03	Wentao Huang	C-PRP	M2711/585577/76954447/5990246267035129980843479286967237252016494899689/534990147880228783308124920535532393211151 : A8081B506B13BDB0 PRP: Verified PRP without proof (small exponent)
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2711/585577/76954447/534990147880228783308124920535532393211151/5990246267035129980843479286967237252016494899689 : A8081B506B13BDB0 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2711/585577/76954447/534990147880228783308124920535532393211151/5990246267035129980843479286967237252016494899689 : 4E8993BA8F79D21F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2711/585577/76954447/534990147880228783308124920535532393211151/5990246267035129980843479286967237252016494899689 : 4E8993BA8F79D21F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2711/known_factors : 4E8993BA8F79D21F PRP without proof (not generated)
2015-08-04	BloodIce	F-ECM	Factor: 534990147880228783308124920535532393211151 / (ECM curve 927, B1=11000000, B2=1100000000)
2015-08-03	BloodIce	F-ECM	Factor: 5990246267035129980843479286967237252016494899689 / (ECM curve 579, B1=11000000, B2=1100000000)