227 561 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
720447918869540332680017	24	79.3	2012-03-18 16:32:06
6350449633889777036990409869761	31	102.3	2020-03-07 09:21:38

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	173 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	01D5	0
Verified (Factored)		Rene Wassenaar	E44F5A933ADB81D5	0
Verified (Factored)		Brian J. Beesley	E44F5A933ADB81D5	0
Verified (Factored)		Eivind Triel	E44F5A933ADB81D5	71091

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	36EB5A3396E565CB	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	36EB5A3396E565CB	1	122969	1	3
Verified	2020-03-07	mrh	2FD1F2871F631C38	2	24001	5	3
Verified	2020-03-09	daveward2005	2FD1F2871F631C38	2	175300	5	3

History

Date	User	Type	Result
2022-03-18	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-06-18	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-03-09	daveward2005	C-PRP	M227561/720447918869540332680017/6350449633889777036990409869761 : 2FD1F2871F631C38 PRP: Verified PRP without proof (small exponent)
2020-03-07	mrh	C-PRP	M227561/720447918869540332680017/6350449633889777036990409869761 : 2FD1F2871F631C38 PRP: Verified PRP without proof (small exponent)
2020-03-07	Niels_Mache_Nextcloud	F-ECM	Factor: 6350449633889777036990409869761 / (ECM curve 2, B1=250000, B2=25000000, Sigma=8877822239462842)
2017-10-12	kkmrkkblmbrbk	C-PRP	M227561/720447918869540332680017 : 36EB5A3396E565CB PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M227561/720447918869540332680017 : 36EB5A3396E565CB PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M227561/720447918869540332680017 : 36EB5A3396E565CB PRP without proof (not generated)
2012-03-18	Michael Kenn	F-ECM	Factor: 720447918869540332680017
2012-02-17	Joss	NF-PM1	B1=2830915
2011-07-24	Joss	NF-PM1	B1=2264732
2009-01-29	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-01	Sturle Sunde	NF	no factor from 2^58 to 2^59