13 591 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
49545335924082423590506148869776808801	38	125.2	2009-03-05 15:09:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1332 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	1B7B	0
Verified (Factored)		George Woltman	57217D0A08A51B7B	0
Verified (Factored)		Brian J. Beesley	57217D0A08A51B7B	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	127698BF5592D5A7	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	127698BF5592D5A7	1	1599	1	3
Unverified	2020-04-17	Oliver Kruse	FDCEB60F603F1B__	1	1005	5	3

History

Date	User	Type	Result
2024-01-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-20	JacobZ	NF-PM1	B1=8100000000, B2=31521845619113850
2020-04-17	Oliver Kruse	C-PRP	M13591/49545335924082423590506148869776808801 : FDCEB60F603F1B__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M13591/49545335924082423590506148869776808801 : 127698BF5592D5A7 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13591/49545335924082423590506148869776808801 : 127698BF5592D5A7 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13591/49545335924082423590506148869776808801 : 127698BF5592D5A7 PRP without proof (not generated)
2009-03-05	-Anonymous-	F-ECM	Factor: 49545335924082423590506148869776808801