199 777 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3719328319801	13	41.8	old
480908022610537	15	48.8	2008-08-26 20:13:04
8136751521669512301311	22	72.8	2015-01-02 14:33:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	188 / 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	2017-09-22	Oliver Kruse	6DF3F2D7849D27BF	3	0	1	3
Verified	2017-09-22	Oliver Kruse	6DF3F2D7849D27BF	3	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	6DF3F2D7849D27BF	3	2208	1	3
Verified	2020-04-17	Oliver Kruse	6A9FDEDF670EE09B	3	90301	5	3
Verified	2023-08-24	USAFSS	6A9FDEDF670EE09B	3	78438	5	3

History

Date	User	Type	Result
2023-08-24	curtisc	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M199777/3719328319801/480908022610537/8136751521669512301311 : 6A9FDEDF670EE09B PRP proof power = 5 PRP: Verified Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M199777/3719328319801/480908022610537/8136751521669512301311 : 6A9FDEDF670EE09B PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M199777/3719328319801/480908022610537/8136751521669512301311 : 6DF3F2D7849D27BF PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2017-09-22	Oliver Kruse	C-PRP	M199777/3719328319801/480908022610537/8136751521669512301311 : 6DF3F2D7849D27BF PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M199777/3719328319801/480908022610537/8136751521669512301311 : 6DF3F2D7849D27BF PRP without proof (not generated)
2015-01-02	TJAOI	F-ECM	Factor: 8136751521669512301311 / (ECM curve 25, B1=50000, B2=5000000)
2008-08-26	-Anonymous-	F-PM1	Factor: 480908022610537