47 189 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
345800993	9	28.4	old
411110569	9	28.6	2008-08-26 20:05:02
520423603367	12	38.9	2008-08-26 20:05:02
711530806327891587646476248407471	33	109.1	2019-01-15 00:12:55

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	609 / 4588

Estimated T-Level: 35.7 ⓘ

TF below 2^113 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	C42FDAE27D9591EF	3	0	1	3
Verified (Factored)	2017-09-21	Oliver Kruse	C42FDAE27D9591EF	3	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	C42FDAE27D9591EF	3	11722	1	3
Verified	2019-01-15	ATH	4EEB7D89F4E8DE98	4	31285	5	3
Verified	2019-01-15	marssystems	4EEB7D89F4E8DE98	4	32474	5	3

History

Date	User	Type	Result
2023-04-30	JacobZ	NF-PM1	B1=750000000, B2=588440535883200
2019-01-15	marssystems	C-PRP	M47189/345800993/411110569/520423603367/711530806327891587646476248407471 : 4EEB7D89F4E8DE98 PRP: Verified PRP without proof (small exponent)
2019-01-15	ATH	C-PRP	M47189/345800993/411110569/520423603367/711530806327891587646476248407471 : 4EEB7D89F4E8DE98 PRP: Verified PRP without proof (small exponent)
2019-01-15	Niels_Mache_Nextcloud	F-ECM	Factor: 711530806327891587646476248407471 / (ECM curve 1, B1=1000000, B2=100000000)
2017-11-06	kkmrkkblmbrbk	C-PRP	M47189/345800993/411110569/520423603367 : C42FDAE27D9591EF PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M47189/345800993/411110569/520423603367 : C42FDAE27D9591EF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M47189/345800993/411110569/520423603367 : C42FDAE27D9591EF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M47189/345800993/411110569/520423603367 : C42FDAE27D9591EF PRP without proof (not generated)
2016-09-28	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 520423603367
2008-08-26	-Anonymous-	F	Factor: 411110569