2 389 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 7 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
71671	5	16.1	old
172009	6	17.4	old
267569	6	18.0	old
403411319	9	28.6	old
5575880691177486143	19	62.3	old
2093271445020575996334084727	28	90.8	old
26780099201337798784371973605537377	35	114.4	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	73793 / 105362

Estimated T-Level: 58.5 ⓘ

TF below 2^189 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	D0151E386C2E3DC5	7	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	D0151E386C2E3DC5	7	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	D0151E386C2E3DC5	7	1938	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5B4DBEBBF89E30AF	7	1221	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	5B4DBEBBF89E30AF	7	1871	5	3

History

Date	User	Type	Result
2025-04-06	masser	NF-PP1	Start=106/71, B1=4400000000, B2=4395600000000
2024-04-28	masser	NF-PM1	B1=100000000000, B2=285492080128204950
2024-02-03	Wentao Huang	C-PRP	M2389/71671/172009/267569/403411319/5575880691177486143/2093271445020575996334084727/26780099201337798784371973605537377 : 5B4DBEBBF89E30AF
2020-04-17	Oliver Kruse	C-PRP	M2389/71671/172009/267569/403411319/5575880691177486143/2093271445020575996334084727/26780099201337798784371973605537377 : 5B4DBEBBF89E30AF
2017-12-07	ATH	C-PRP	M2389/71671/172009/267569/403411319/5575880691177486143/2093271445020575996334084727/26780099201337798784371973605537377 : D0151E386C2E3DC5
2017-10-02	kkmrkkblmbrbk	C-PRP	M2389/71671/172009/267569/403411319/5575880691177486143/2093271445020575996334084727/26780099201337798784371973605537377 : D0151E386C2E3DC5
2017-09-21	Oliver Kruse	C-PRP	M2389/known_factors : D0151E386C2E3DC5
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2009-10-25	Carsten Kossendey	F	Factor: 1330694954506540943453929