5 197 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
31183	5	14.9	old
20195543	8	24.3	old
33516531384465146199014140546975799593147629670601	50	164.5	2021-04-05 11:55:59

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	11170 / 16550

Estimated T-Level: 48.4 ⓘ

TF below 2^156 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	4F795807D378E6F4	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	4F795807D378E6F4	2	3665	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	5C78EFACFCBE248C	2	1496	5	3
Verified	2021-04-05	mikr	5C78EFACFCBE248C	3	3899	5	3
Verified	2021-04-09	Zero	5C78EFACFCBE248C	3	2515	5	3

History

Date	User	Type	Result
2023-06-25	-Anonymous-	NF-PM1	B1=60000000000, B2=253175458787951700
2022-01-25	Ethan O'Connor	NF-PM1	B1=1300000000, B2=10037823661715850
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=242033299467960
2021-04-09	Zero	C-PRP	M5197/31183/20195543/33516531384465146199014140546975799593147629670601 : 5C78EFACFCBE248C PRP: Verified PRP without proof (small exponent)
2021-04-05	mikr	C-PRP	M5197/31183/20195543/33516531384465146199014140546975799593147629670601 : 5C78EFACFCBE248C PRP: Verified PRP without proof (small exponent)
2021-04-05	Ryan Propper	F-ECM	Factor: 33516531384465146199014140546975799593147629670601 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=5534769345194105020)
2020-04-17	Oliver Kruse	C-PRP	M5197/31183/20195543 : 5C78EFACFCBE248C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5197/31183/20195543 : 4F795807D378E6F4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5197/31183/20195543 : 4F795807D378E6F4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5197/31183/20195543 : 4F795807D378E6F4 PRP without proof (not generated)