223 681 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
4920983	7	22.2	old
3228948345560719	16	51.5	2014-06-29 11:44:57
559077277605228940904571983	27	88.9	2019-12-22 15:46:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	167 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 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	3551604CB2F2A3D5	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	3551604CB2F2A3D5	2	52034	1	3
Verified	2019-12-22	Christoph Zenger	7E990E96EF4ECFBE	3	100879	5	3
Verified	2019-12-23	oodaira	7E990E96EF4ECFBE	3	129355	5	3

History

Date	User	Type	Result
2022-03-12	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-06-08	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2019-12-23	oodaira	C-PRP	M223681/4920983/3228948345560719/559077277605228940904571983 : 7E990E96EF4ECFBE PRP: Verified PRP without proof (small exponent)
2019-12-22	Christoph Zenger	C-PRP	M223681/4920983/3228948345560719/559077277605228940904571983 : 7E990E96EF4ECFBE PRP: Verified PRP without proof (small exponent)
2019-12-22	Niels_Mache_Nextcloud	F-ECM	Factor: 559077277605228940904571983 / (ECM curve 3, B1=250000, B2=25000000, Sigma=3841675954886457)
2017-10-12	kkmrkkblmbrbk	C-PRP	M223681/4920983/3228948345560719 : 3551604CB2F2A3D5 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M223681/4920983/3228948345560719 : 3551604CB2F2A3D5 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M223681/4920983/3228948345560719 : 3551604CB2F2A3D5 PRP without proof (not generated)
2014-06-29	TJAOI	F	Factor: 3228948345560719