20 389 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
2936605731239826780598534649	28	91.2	old
3043822287049599789931831484130353	34	111.2	2008-07-15 22:29:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1313 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	3665ECB711A3596D	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	3665ECB711A3596D	2	0	1	3
Verified	2017-12-07	ATH	3665ECB711A3596D	2	17989	1	3
Unverified	2020-04-17	Oliver Kruse	D7955D2FACE720__	2	11943	5	3

History

Date	User	Type	Result
2023-08-11	nordi	NF-PM1	B1=12000000000, B2=3601049663361150
2023-04-06	nordi	NF-PM1	B1=12000000000
2022-06-16	LordJulius	NF	no factor from 2^59 to 2^60
2022-06-16	LordJulius	NF	no factor from 2^58 to 2^59
2022-06-16	LordJulius	NF	no factor from 2^57 to 2^58
2022-06-15	LordJulius	NF	no factor from 2^59 to 2^60
2020-04-17	Oliver Kruse	C-PRP	M20389/2936605731239826780598534649/3043822287049599789931831484130353 : D7955D2FACE720__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M20389/2936605731239826780598534649/3043822287049599789931831484130353 : 3665ECB711A3596D PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M20389/2936605731239826780598534649/3043822287049599789931831484130353 : 3665ECB711A3596D PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M20389/known_factors : 3665ECB711A3596D PRP without proof (not generated)
2016-11-12	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2008-07-15	George Woltman	F-ECM	Factor: 3043822287049599789931831484130353