5 417 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
433361	6	18.7	old
3196031	7	21.6	old
200515673	9	27.6	old
444079687775373337806697	24	78.6	old
79567849540811502674931131158111823998567	41	135.9	2020-10-06 19:27:47

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	7908 / 16550

Estimated T-Level: 47.4 ⓘ

TF below 2^152 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	E3DBF0C4F1DDAD47	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	E3DBF0C4F1DDAD47	4	0	1	3
Verified (Factored)	2017-12-07	ATH	E3DBF0C4F1DDAD47	4	3981	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	1AB21F68EA7A3289	4	129	5	3
Verified	2020-10-06	megavink	1AB21F68EA7A3289	5	5016	5	3

History

Date	User	Type	Result
2023-07-08	-Anonymous-	NF-PM1	B1=46000000000, B2=193133848036379250
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-10-06	megavink	C-PRP	M5417/433361/3196031/200515673/444079687775373337806697/79567849540811502674931131158111823998567 : 1AB21F68EA7A3289 PRP: Verified PRP without proof (small exponent)
2020-10-06	Ryan Propper	F-ECM	Factor: 79567849540811502674931131158111823998567 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=7171129905315112250)
2020-04-17	Oliver Kruse	C-PRP	M5417/433361/3196031/200515673/444079687775373337806697 : 1AB21F68EA7A3289 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5417/433361/3196031/200515673/444079687775373337806697 : E3DBF0C4F1DDAD47 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5417/433361/3196031/200515673/444079687775373337806697 : E3DBF0C4F1DDAD47 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5417/known_factors : E3DBF0C4F1DDAD47 PRP without proof (not generated)