208 799 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
294933181079	12	38.1	old
2717010028335533993	19	61.2	2014-08-15 10:41:46
309198546260987816057353	24	78.0	2014-08-15 10:41:46
3101128189547194551051053711	28	91.3	2020-06-24 09:36:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	609 / 640

Estimated T-Level: 29.8 ⓘ

TF below 2^94 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	8411732A82754DCB	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	8411732A82754DCB	3	200892	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	4576DAC369CEF38E	3	185285	5	3
Verified	2020-06-24	M Miller	4576DAC369CEF38E	4	38491	5	3
Verified	2023-08-03	USAFSS	4576DAC369CEF38E	4	52833	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M208799/294933181079/2717010028335533993/309198546260987816057353/3101128189547194551051053711 : 4576DAC369CEF38E PRP proof power = 5 PRP: Verified Proof certified good
2022-02-15	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-05-13	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-06-24	M Miller	C-PRP	M208799/294933181079/2717010028335533993/309198546260987816057353/3101128189547194551051053711 : 4576DAC369CEF38E PRP: Verified PRP without proof (small exponent)
2020-06-24	nordi	F-ECM	Factor: 3101128189547194551051053711 / (ECM curve 83, B1=250000, B2=25000000, Sigma=8783885919010093)
2020-04-17	Oliver Kruse	C-PRP	M208799/294933181079/2717010028335533993/309198546260987816057353 : 4576DAC369CEF38E PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M208799/294933181079/2717010028335533993/309198546260987816057353 : 8411732A82754DCB PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M208799/known_factors : 8411732A82754DCB PRP without proof (not generated)
2014-08-15	TJAOI	F-ECM	Factor: 309198546260987816057353
2014-08-15	TJAOI	F-ECM	Factor: 2717010028335533993