85 843 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
8422878132137009	16	52.9	old
476663426913704956328188913551730183	36	118.5	2016-11-14 19:12:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	546 / 1566

Estimated T-Level: 31.7 ⓘ

TF below 2^100 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	65A00208557462CA	2	0	1	3
Verified	2017-10-09	Chang Chia-Tche	65A00208557462CA	2	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	65A00208557462CA	2	38156	1	3
Verified	2020-04-17	Oliver Kruse	CD443A1BF88007FC	2	60428	5	3
Verified	2024-02-03	Wentao Huang	CD443A1BF88007FC	2	23498	5	3

P-1 factors

Date	Factor	B1	B2
2016-11-14	476663426913704956328188913551730183	100000000	0

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M85843/8422878132137009/476663426913704956328188913551730183 : CD443A1BF88007FC PRP: Verified PRP without proof (small exponent)
2024-01-22	masser	NF-PP1	Start=158/67, B1=52000000, B2=2756000000
2024-01-22	masser	NF-PP1	Start=6/5, B1=26000000, B2=1378000000
2023-05-31	JacobZ	NF-PM1	B1=1300000000, B2=1230112483970370
2020-04-17	Oliver Kruse	C-PRP	M85843/8422878132137009/476663426913704956328188913551730183 : CD443A1BF88007FC PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M85843/8422878132137009/476663426913704956328188913551730183 : 65A00208557462CA PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M85843/known_factors : 65A00208557462CA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M85843/8422878132137009/476663426913704956328188913551730183 : 65A00208557462CA PRP without proof (not generated)
2016-11-14	kkmrkkblmbrbk	F-PM1	Factor: 476663426913704956328188913551730183 / (P-1, B1=100000000)