291 877 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
10130536966481	14	43.2	old
232919405790689	15	47.7	2014-03-13 11:34:22
89814933379384088399	20	66.3	2014-09-15 12:12:12
16800751130359935394857079	26	83.8	2020-06-28 15:08:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	459 / 640

Estimated T-Level: 28.6 ⓘ

TF below 2^90 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	FFF09432AD575EBF	3	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	FFF09432AD575EBF	3	188322	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	FFF09432AD575EBF	3	154453	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	680AA2BFA719415F	3	221469	5	3
Verified	2020-06-30	mnd9	680AA2BFA719415F	4	103959	5	3
Verified	2020-07-01	fre_games	680AA2BFA719415F	4	278652	5	3

History

Date	User	Type	Result
2023-02-13	USAFSS	NF-PM1	B1=3500000, B2=16989188580
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-07-01	fre_games	C-PRP	M291877/10130536966481/232919405790689/89814933379384088399/16800751130359935394857079 : 680AA2BFA719415F PRP: Verified PRP without proof (small exponent)
2020-06-30	mnd9	C-PRP	M291877/10130536966481/232919405790689/89814933379384088399/16800751130359935394857079 : 680AA2BFA719415F PRP: Verified PRP without proof (small exponent)
2020-06-28	nordi	F-ECM	Factor: 16800751130359935394857079 / (ECM curve 3, B1=250000, B2=25000000, Sigma=2423879145108621)
2020-04-17	Oliver Kruse	C-PRP	M291877/10130536966481/232919405790689/89814933379384088399 : 680AA2BFA719415F PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M291877/10130536966481/232919405790689/89814933379384088399 : FFF09432AD575EBF PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M291877/10130536966481/232919405790689/89814933379384088399 : FFF09432AD575EBF PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M291877/known_factors : FFF09432AD575EBF PRP without proof (not generated)
2014-09-15	TJAOI	F-ECM	Factor: 89814933379384088399
2014-03-13	TJAOI	F	Factor: 232919405790689