47 527 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
1615919	7	20.6	old
5418079	7	22.4	2008-08-26 20:05:08
8091719813184233	16	52.8	2008-08-29 02:24:51
595047459026126172137746249	27	88.9	2010-06-12 01:33:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	715 / 4588

Estimated T-Level: 35.8 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	2183B77AF003BC08	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2183B77AF003BC08	4	0	1	3
Verified	2017-12-07	ATH	2183B77AF003BC08	4	38898	1	3
Unverified	2020-04-17	Oliver Kruse	E48FE45AAE95A4__	4	34071	5	3

History

Date	User	Type	Result
2023-05-01	JacobZ	NF-PM1	B1=750000000, B2=588440535883200
2021-03-22	Conductor	F-ECM	Factor: 70844437577262334681933891033 / (ECM curve 1, B1=1000000, B2=100000000, Sigma=1774399795569991)
2020-04-17	Oliver Kruse	C-PRP	M47527/1615919/5418079/8091719813184233/595047459026126172137746249 : E48FE45AAE95A4__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M47527/1615919/5418079/8091719813184233/595047459026126172137746249 : 2183B77AF003BC08 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M47527/1615919/5418079/8091719813184233/595047459026126172137746249 : 2183B77AF003BC08 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M47527/known_factors : 2183B77AF003BC08 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M47527/known_factors : 2183B77AF003BC08 PRP without proof (not generated)
2016-09-28	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-06-12	James Hintz	F-ECM	Factor: 595047459026126172137746249
2008-08-29	-Anonymous-	F	Factor: 8091719813184233
2008-08-26	-Anonymous-	F	Factor: 5418079