5 209 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1945613591	10	30.9	old
2132340874464166992010993	25	80.8	old

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	10204 / 16550

Estimated T-Level: 48.1 ⓘ

TF below 2^155 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	0A71B11FEE4D950B	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	0A71B11FEE4D950B	2	40	1	3
Verified	2020-04-17	Oliver Kruse	CCCF344AACACB7B0	2	3101	5	3
Verified	2024-02-03	Wentao Huang	CCCF344AACACB7B0	2	3905	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5209/1945613591/2132340874464166992010993 : CCCF344AACACB7B0 PRP: Verified PRP without proof (small exponent)
2023-10-18	mikr	NF-PM1	B1=500000000000, B2=1311597618528547350
2023-06-26	-Anonymous-	NF-PM1	B1=60000000000, B2=253175458787951700
2022-01-25	Ethan O'Connor	NF-PM1	B1=1300000000, B2=10037823661715850
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=242033299467960
2020-04-17	Oliver Kruse	C-PRP	M5209/1945613591/2132340874464166992010993 : CCCF344AACACB7B0 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5209/1945613591/2132340874464166992010993 : 0A71B11FEE4D950B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5209/1945613591/2132340874464166992010993 : 0A71B11FEE4D950B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5209/1945613591/2132340874464166992010993 : 0A71B11FEE4D950B PRP without proof (not generated)