286 243 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
1360226737	10	30.3	old
5408699513284985783	19	62.2	2014-09-05 15:16:28
131882387679537575824324937	27	86.8	2020-06-25 05:09:10

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	474 / 640

Estimated T-Level: 28.7 ⓘ

TF below 2^90 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	2EBDBE98CE959BC8	2	0	1	3
Verified (Factored)	2017-09-24	Oliver Kruse	2EBDBE98CE959BC8	2	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	2EBDBE98CE959BC8	2	283213	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	907B8670B406C4F8	2	109299	5	3
Verified	2020-06-25	M Miller	907B8670B406C4F8	3	196467	5	3

History

Date	User	Type	Result
2023-02-16	USAFSS	NF-PM1	B1=4000000, B2=22109179950
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-06-25	M Miller	C-PRP	M286243/1360226737/5408699513284985783/131882387679537575824324937 : 907B8670B406C4F8 PRP: Verified PRP without proof (small exponent)
2020-06-25	nordi	F-ECM	Factor: 131882387679537575824324937 / (ECM curve 1, B1=250000, B2=25000000, Sigma=7879176830883165)
2020-04-17	Oliver Kruse	C-PRP	M286243/1360226737/5408699513284985783 : 907B8670B406C4F8 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M286243/1360226737/5408699513284985783 : 2EBDBE98CE959BC8 PRP: Verified PRP without proof (small exponent)
2017-09-24	Oliver Kruse	C-PRP	M286243/1360226737/5408699513284985783 : 2EBDBE98CE959BC8 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M286243/1360226737/5408699513284985783 : 2EBDBE98CE959BC8 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M286243/1360226737/5408699513284985783 : 2EBDBE98CE959BC8 PRP without proof (not generated)
2014-09-05	TJAOI	F-ECM	Factor: 5408699513284985783