573 847 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
40506979931349424415921	23	75.1	old
1839639302507246727496192879	28	90.6	2021-05-28 18:38:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	210 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-27	Oliver Kruse	F898E71F9812B2FC	1	0	1	3
Verified (Factored)	2017-09-28	Oliver Kruse	F898E71F9812B2FC	1	0	1	3
Verified (Factored)	2017-11-08	kkmrkkblmbrbk	F898E71F9812B2FC	1	175207	1	3
Verified (Factored)	2020-04-19	Oliver Kruse	E08D6B51EBEF402E	1	502881	5	3
Verified	2021-05-31	Klaus Nordmann	E08D6B51EBEF402E	2	521393	5	3

History

Date	User	Type	Result
2022-12-15	USAFSS	NF-PM1	B1=1750000, B2=5675249580
2021-05-31	Simon Josefsson	CERT	PRP Certification Proof certified good
2021-05-31	Klaus Nordmann	C-PRP	M573847/40506979931349424415921/1839639302507246727496192879 : E08D6B51EBEF402E PRP proof power = 6 PRP: Verified Proof certified good
2021-05-28	TJAOI	F-ECM	Factor: 1839639302507246727496192879 / (ECM curve 52, B1=250000, B2=35000000)
2020-04-19	Oliver Kruse	C-PRP	M573847/40506979931349424415921 : E08D6B51EBEF402E PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-08	kkmrkkblmbrbk	C-PRP	M573847/40506979931349424415921 : F898E71F9812B2FC PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M573847/40506979931349424415921 : F898E71F9812B2FC PRP: Verified (Factored) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M573847/40506979931349424415921 : F898E71F9812B2FC PRP: Verified (Factored) PRP without proof (not generated)