2 089 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
16673027617	11	34.0	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	64548 / 105362

Estimated T-Level: 58.1 ⓘ

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	BBA6886CDF27A1C8	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	BBA6886CDF27A1C8	1	1668	1	3
Verified	2020-04-17	Oliver Kruse	91239E8ECB28A857	1	245	5	3
Verified	2024-01-27	Wentao Huang	91239E8ECB28A857	1	1875	5	3

History

Date	User	Type	Result
2024-04-20	masser	NF-PM1	B1=100000000000, B2=153753062580387270
2024-01-27	Wentao Huang	C-PRP	M2089/16673027617 : 91239E8ECB28A857 PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M2089/16673027617 : 91239E8ECB28A857 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M2089/16673027617 : BBA6886CDF27A1C8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2089/16673027617 : BBA6886CDF27A1C8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2089/16673027617 : BBA6886CDF27A1C8 PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12