217 457 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
835753307998393657487	21	69.5	2007-08-22 23:26:06
1695540940349529742499502182519	31	100.4	2021-12-04 05:14:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	189 / 1566

Estimated T-Level: 30.6 ⓘ

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	0F5F0A087BBE0EB6	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	0F5F0A087BBE0EB6	1	129412	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	4057CAADCC14E07B	1	138083	5	3
Verified	2021-12-04	SRJ2877	4057CAADCC14E07B	2	157006	5	3
Verified	2023-08-03	USAFSS	4057CAADCC14E07B	2	156889	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M217457/835753307998393657487/1695540940349529742499502182519 : 4057CAADCC14E07B PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2022-03-01	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-12-04	aperson1	CERT	PRP Certification Proof certified good
2021-12-04	SRJ2877	C-PRP	M217457/835753307998393657487/1695540940349529742499502182519 : 4057CAADCC14E07B PRP proof power = 5 PRP: Verified Proof certified good
2021-12-04	Luminescence	F-ECM	Factor: 1695540940349529742499502182519 / (ECM curve 7, B1=250000, B2=36000000, Sigma=854172507642546)
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	M217457/835753307998393657487 : 4057CAADCC14E07B PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M217457/835753307998393657487 : 0F5F0A087BBE0EB6 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M217457/835753307998393657487 : 0F5F0A087BBE0EB6 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M217457/835753307998393657487 : 0F5F0A087BBE0EB6 PRP without proof (not generated)
2007-08-22	Chad Davis	F-ECM	Factor: 835753307998393657487