5 309 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
4379627179880971499877583266262615461322386849281	49	161.6	2010-02-15 15:03:27

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	16550 / 16550
55	110000000	11750 / 40830

Estimated T-Level: 51.4 ⓘ

TF below 2^166 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	40EF	0
Verified (Factored)		George Woltman	A67369308699C0EF	0
Verified (Factored)		Brian J. Beesley	A67369308699C0EF	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	BEAC324F59015A3B	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	BEAC324F59015A3B	1	0	1	3
Verified	2017-12-07	ATH	BEAC324F59015A3B	1	2926	1	3
Verified	2020-04-17	Oliver Kruse	5D26F74084D84C72	1	559	5	3
Verified	2024-02-03	Wentao Huang	5D26F74084D84C72	1	3268	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5309/4379627179880971499877583266262615461322386849281 : 5D26F74084D84C72 PRP: Verified PRP without proof (small exponent)
2023-07-02	-Anonymous-	NF-PM1	B1=59000000000, B2=241667483419362000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1395865000
2020-04-17	Oliver Kruse	C-PRP	M5309/4379627179880971499877583266262615461322386849281 : 5D26F74084D84C72 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5309/4379627179880971499877583266262615461322386849281 : BEAC324F59015A3B PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5309/4379627179880971499877583266262615461322386849281 : BEAC324F59015A3B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5309/known_factors : BEAC324F59015A3B PRP without proof (not generated)
2010-02-15	-Anonymous-	F-ECM	Factor: 4379627179880971499877583266262615461322386849281