251 071 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
22638766018970279	17	54.3	old
390601347854078519500169	24	78.4	2015-09-25 10:20:51
404412760228595042201962177	27	88.4	2021-06-26 11:00:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	439 / 640

Estimated T-Level: 28.4 ⓘ

TF below 2^89 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	3703ADE6149BB1F1	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	3703ADE6149BB1F1	2	198220	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	25ACA35033D3750A	2	234551	5	3
Verified	2021-06-27	tottenhoff	25ACA35033D3750A	3	247683	5	3

History

Date	User	Type	Result
2022-04-20	Oliver Kruse	NF-PM1	B1=30000000, B2=10120247026890
2021-08-18	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2021-06-27	LOBES	CERT	PRP Certification Proof certified good
2021-06-27	tottenhoff	C-PRP	M251071/22638766018970279/390601347854078519500169/404412760228595042201962177 : 25ACA35033D3750A PRP proof power = 5 PRP: Verified Proof certified good
2021-06-26	seatsea	F-ECM	Factor: 404412760228595042201962177 / (ECM curve 4, B1=250000, B2=38500000, Sigma=2623383325733785)
2021-05-27	ViliamF	NF-PM1	B1=50000000, B2=7050000000
2020-04-17	Oliver Kruse	C-PRP	M251071/22638766018970279/390601347854078519500169 : 25ACA35033D3750A PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M251071/22638766018970279/390601347854078519500169 : 3703ADE6149BB1F1 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M251071/known_factors : 3703ADE6149BB1F1 PRP without proof (not generated)
2015-09-25	TJAOI	F-ECM	Factor: 390601347854078519500169 / (ECM curve 27, B1=50000, B2=5000000)