217 691 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
9064811226331423013058716191	28	92.9	2009-03-23 03:37:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	543 / 640

Estimated T-Level: 29.2 ⓘ

TF below 2^92 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	3567	0
Verified (Factored)		shelley giles	7C54B71AAACB3567	0
Verified (Factored)		Brian J. Beesley	7C54B71AAACB3567	0
Verified (Factored)		Eivind Triel	7C54B71AAACB3567	144961

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	E1436960F42E3D61	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	E1436960F42E3D61	1	32517	1	3
Verified	2020-04-17	Oliver Kruse	EF25105AE78BFAE2	1	39002	5	3
Verified	2023-08-03	USAFSS	EF25105AE78BFAE2	1	180991	5	3

History

Date	User	Type	Result
2023-08-03	David Barina	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M217691/9064811226331423013058716191 : EF25105AE78BFAE2 PRP proof power = 5 PRP: Verified Proof certified good
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
2022-03-02	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-05-29	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2021-05-02	Dylan Delgado	NF-PM1	B1=6500000, B2=604500000
2020-04-17	Oliver Kruse	C-PRP	M217691/9064811226331423013058716191 : EF25105AE78BFAE2 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M217691/9064811226331423013058716191 : E1436960F42E3D61 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M217691/9064811226331423013058716191 : E1436960F42E3D61 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M217691/9064811226331423013058716191 : E1436960F42E3D61 PRP without proof (not generated)
2009-03-23	axn	F-ECM	Factor: 9064811226331423013058716191
2009-01-22	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59