267 133 Exponent Status

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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
2871920511630241	16	51.4	old
413658384415306127485721	24	78.5	2017-11-24 16:05:46
70461598673250855176434057	26	85.9	2016-10-27 15:30:12
1082065838372604964965209839	28	89.8	2020-02-20 02:39:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	230 / 1566

Estimated T-Level: 30.7 ⓘ

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	D5524DA455C8066C	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	D5524DA455C8066C	2	55505	1	3
Verified (Factored)	2017-11-26	ANONYMOUS	222522CAF7BBDE2D	3	174299	5	3
Verified (Factored)	2017-11-26	Oliver Kruse	222522CAF7BBDE2D	3	184337	5	3
Verified	2020-02-21	Jinyuan Wang	222522CAF7BBDE2D	4	18846	5	3
Verified	2020-02-22	Bommer	222522CAF7BBDE2D	4	232345	5	3

P-1 factors

Date	Factor	B1	B2
2016-10-27	70461598673250855176434057	5000000	0

History

Date	User	Type	Result
2021-07-03	George Woltman	NF-PP1	Start=2/7, B1=10000000, B2=830000000
2021-07-03	George Woltman	NF-PM1	B1=20000000, B2=1820000000
2020-02-22	Bommer	C-PRP	M267133/2871920511630241/70461598673250855176434057/413658384415306127485721/1082065838372604964965209839 : 222522CAF7BBDE2D PRP: Verified PRP without proof (small exponent)
2020-02-21	Jinyuan Wang	C-PRP	M267133/2871920511630241/413658384415306127485721/70461598673250855176434057/1082065838372604964965209839 : 222522CAF7BBDE2D PRP: Verified PRP without proof (small exponent)
2020-02-20	Niels_Mache_Nextcloud	F-ECM	Factor: 1082065838372604964965209839 / (ECM curve 3, B1=250000, B2=25000000, Sigma=3163365316098072)
2017-11-26	Oliver Kruse	C-PRP	M267133/2871920511630241/70461598673250855176434057/413658384415306127485721 : 222522CAF7BBDE2D PRP: Verified PRP without proof (small exponent)
2017-11-26	ANONYMOUS	C-PRP	M267133/2871920511630241/413658384415306127485721/70461598673250855176434057 : 222522CAF7BBDE2D PRP: Verified PRP without proof (small exponent)
2017-11-24	TJAOI	F-ECM	Factor: 413658384415306127485721 / (ECM curve 3, B1=250000, B2=25000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M267133/2871920511630241/70461598673250855176434057 : D5524DA455C8066C PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M267133/known_factors : D5524DA455C8066C PRP without proof (not generated)
2016-10-27	kkmrkkblmbrbk	F-PM1	Factor: 70461598673250855176434057 / (P-1, B1=5000000)