519 647 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
10294607198191	14	43.2	old
12859462737647742817	20	63.5	2015-06-12 09:30:07
10210949307487503873959	23	73.1	2015-06-12 09:30:08
34806008286971911903682887	26	84.8	2021-02-05 10:45:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-28	Oliver Kruse	34B531199D3079C0	3	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	34B531199D3079C0	3	130559	1	3
Verified (Factored)	2020-04-19	Oliver Kruse	6DCE5C5E63664DC7	3	57726	5	3
Verified	2021-02-06	mrh	6DCE5C5E63664DC7	4	108526	5	3

History

Date	User	Type	Result
2021-08-06	ViliamF	NF-PM1	B1=10000000, B2=1110000000
2021-02-06	Luigi Morelli	CERT	PRP Certification Proof certified good
2021-02-06	mrh	C-PRP	M519647/10294607198191/12859462737647742817/10210949307487503873959/34806008286971911903682887 : 6DCE5C5E63664DC7 PRP proof power = 6 PRP: Verified Proof certified good
2021-02-05	TJAOI	F-ECM	Factor: 34806008286971911903682887 / (ECM curve 46, B1=250000, B2=25000000)
2020-04-19	Oliver Kruse	C-PRP	M519647/10294607198191/12859462737647742817/10210949307487503873959 : 6DCE5C5E63664DC7 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M519647/10294607198191/12859462737647742817/10210949307487503873959 : 34B531199D3079C0 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M519647/10294607198191/12859462737647742817/10210949307487503873959 : 34B531199D3079C0 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M519647/10294607198191/12859462737647742817/10210949307487503873959 : 34B531199D3079C0 PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=1500000, B2=50000000, E=12
2015-06-12	TJAOI	F-ECM	Factor: 10210949307487503873959 / (ECM curve 83, B1=50000, B2=5000000)
2015-06-12	TJAOI	F-ECM	Factor: 12859462737647742817 / (ECM curve 2, B1=50000, B2=5000000)