39 209 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
548927	6	19.1	old
1254689	7	20.3	2008-08-26 19:59:56
2117287	7	21.0	2008-08-26 19:59:56
15943634089	11	33.9	2008-08-26 19:59:56
1647794610953	13	40.6	2008-08-26 19:59:56
422918878296219707644433	24	78.5	2010-04-28 13:05:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	988 / 4588

Estimated T-Level: 36.1 ⓘ

TF below 2^115 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	869EFFF268160B0D	6	0	1	3
Verified	2017-09-21	Oliver Kruse	869EFFF268160B0D	6	0	1	3
Verified	2017-11-06	kkmrkkblmbrbk	869EFFF268160B0D	6	35295	1	3
Verified	2020-04-17	Oliver Kruse	5710875063E5F6C9	6	3634	5	3
Verified	2024-07-01	kkmrkkblmbrbk	5710875063E5F6C9	6	32926	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M39209/1254689/15943634089/1647794610953/2117287/422918878296219707644433/548927 : 5710875063E5F6C9 PRP: Verified PRP without proof (small exponent)
2022-08-02	nordi	NF-PM1	B1=2000000000, B2=401927737170960
2022-07-17	nordi	NF-PM1	B1=2000000000
2021-05-06	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M39209/548927/1254689/2117287/15943634089/1647794610953/422918878296219707644433 : 5710875063E5F6C9 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M39209/548927/1254689/2117287/15943634089/1647794610953/422918878296219707644433 : 869EFFF268160B0D PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M39209/548927/1254689/2117287/15943634089/1647794610953/422918878296219707644433 : 869EFFF268160B0D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M39209/548927/1254689/2117287/15943634089/1647794610953/422918878296219707644433 : 869EFFF268160B0D PRP without proof (not generated)
2016-11-08	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2010-04-28	James Hintz	F-ECM	Factor: 422918878296219707644433
2008-08-26	-Anonymous-	F	Factor: 1647794610953
2008-08-26	-Anonymous-	F	Factor: 15943634089
2008-08-26	-Anonymous-	F	Factor: 2117287
2008-08-26	-Anonymous-	F	Factor: 1254689