231 821 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
4075876823	10	31.9	old
166249341054943	15	47.2	2009-01-23 21:57:43
767106679169969	15	49.4	2014-04-30 11:17:18
298578025500096763757848516567	30	97.9	2020-01-25 00:35:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	192 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	BE207A01871BDA38	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	BE207A01871BDA38	3	201401	1	3
Verified	2020-01-25	Niels_Mache_Nextcloud	1F3A517025F54D32	4	47825	5	3
Verified	2020-01-26	oodaira	1F3A517025F54D32	4	6469	5	3

History

Date	User	Type	Result
2022-03-25	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-07-15	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-01-26	oodaira	C-PRP	M231821/4075876823/166249341054943/767106679169969/298578025500096763757848516567 : 1F3A517025F54D32 PRP: Verified PRP without proof (small exponent)
2020-01-25	Niels_Mache_Nextcloud	C-PRP	M231821/4075876823/166249341054943/767106679169969/298578025500096763757848516567 : 1F3A517025F54D32 PRP: Verified PRP without proof (small exponent)
2020-01-25	Niels_Mache_Nextcloud	F-ECM	Factor: 298578025500096763757848516567 / (ECM curve 3, B1=250000, B2=25000000, Sigma=523382351167977)
2017-10-12	kkmrkkblmbrbk	C-PRP	M231821/4075876823/166249341054943/767106679169969 : BE207A01871BDA38 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M231821/known_factors : BE207A01871BDA38 PRP without proof (not generated)
2014-04-30	TJAOI	F	Factor: 767106679169969
2009-01-23	Matthias Wurtinger	F-ECM	Factor: 166249341054943