40 009 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
5761297	7	22.5	old
8296597725135896301239024760071	31	102.7	2021-09-17 11:35:03

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	933 / 4588

Estimated T-Level: 36.0 ⓘ

TF below 2^115 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	E8B83507D65B3C55	1	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	E8B83507D65B3C55	1	23916	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	5BFDB85A0F922510	1	10814	5	3
Verified	2021-09-17	mikr	5BFDB85A0F922510	2	20071	5	3

History

Date	User	Type	Result
2022-01-15	mikr	NF-PM1	B1=5000000000, B2=1639905100934100
2022-01-03	Lisander Viaene	NF-PM1	B1=100000000
2022-01-02	Lisander Viaene	NF-PM1	B1=1000000000, B2=140690053634130
2021-12-22	Lisander Viaene	NF-PM1	B1=1000000000, B2=488172244560
2021-12-21	Lisander Viaene	NF-PM1	B1=1250000000
2021-12-19	Lisander Viaene	NF-PM1	B1=1100000000
2021-12-18	Lisander Viaene	NF-PM1	B1=1000000000, B2=138908118479130
2021-12-17	Lisander Viaene	NF-PM1	B1=1000000000
2021-09-18	mikr	NF-PP1	Start=175/13, B1=1000000000, B2=211000000000
2021-09-17	mikr	C-PRP	M40009/5761297/8296597725135896301239024760071 : 5BFDB85A0F922510 PRP: Verified PRP without proof (small exponent)
2021-09-17	debrouxl	F-ECM	Factor: 8296597725135896301239024760071 / (ECM curve 50, B1=1000000, B2=100000000, Sigma=6682923998005862)
2020-04-17	Oliver Kruse	C-PRP	M40009/5761297 : 5BFDB85A0F922510 PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M40009/5761297 : E8B83507D65B3C55 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M40009/5761297 : E8B83507D65B3C55 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M40009/5761297 : E8B83507D65B3C55 PRP without proof (not generated)
2016-09-13	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12