5 351 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
25689701826359	14	44.5	old
7647494385553201128215943537978223	34	112.6	old
730849599235044507858635394476420971241	39	129.1	2020-10-05 20:27:46
619011248195104101953970144902182758419239193	45	148.8	2020-10-06 23:23:02

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	8442 / 16550

Estimated T-Level: 47.6 ⓘ

TF below 2^153 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	DF8B77D243272E4D	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	DF8B77D243272E4D	2	0	1	3
Verified (Factored)	2017-12-07	ATH	DF8B77D243272E4D	2	4669	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	29F46CBABCC189AC	2	344	5	3
Verified (Factored)	2020-10-05	Kirill Frolov	29F46CBABCC189AC	3	2350	5	3
Verified	2020-10-07	mnd9	29F46CBABCC189AC	4	466	5	3
Verified	2020-10-09	arnaud	29F46CBABCC189AC	4	76	5	3

History

Date	User	Type	Result
2023-07-05	-Anonymous-	NF-PM1	B1=58000000000, B2=237664709340158100
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2020-10-09	arnaud	C-PRP	M5351/25689701826359/7647494385553201128215943537978223/730849599235044507858635394476420971241/619011248195104101953970144902182758419239193 : 29F46CBABCC189AC PRP: Verified PRP without proof (small exponent)
2020-10-07	mnd9	C-PRP	M5351/25689701826359/7647494385553201128215943537978223/730849599235044507858635394476420971241/619011248195104101953970144902182758419239193 : 29F46CBABCC189AC PRP: Verified PRP without proof (small exponent)
2020-10-06	Ryan Propper	F-ECM	Factor: 619011248195104101953970144902182758419239193 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=894908710806492944)
2020-10-05	Kirill Frolov	C-PRP	M5351/25689701826359/7647494385553201128215943537978223/730849599235044507858635394476420971241 : 29F46CBABCC189AC PRP: Verified PRP without proof (small exponent)
2020-10-05	Ryan Propper	F-ECM	Factor: 730849599235044507858635394476420971241 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=13898998030567707278)
2020-04-17	Oliver Kruse	C-PRP	M5351/25689701826359/7647494385553201128215943537978223 : 29F46CBABCC189AC PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5351/25689701826359/7647494385553201128215943537978223 : DF8B77D243272E4D PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5351/25689701826359/7647494385553201128215943537978223 : DF8B77D243272E4D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5351/known_factors : DF8B77D243272E4D PRP without proof (not generated)