5 419 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
782469299187971113	18	59.4	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	10477 / 16550

Estimated T-Level: 48.2 ⓘ

TF below 2^155 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	CC3BB9914F5200F1	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	CC3BB9914F5200F1	1	191	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3EBACF181D84CF48	1	96	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	3EBACF181D84CF48	1	956	5	3

History

Date	User	Type	Result
2025-05-06	masser	NF-PP1	Start=138/47, B1=2100000000, B2=2097900000000
2024-05-10	mikr	NF-PM1	B1=500000000000, B2=1177314837267769200
2024-02-03	Wentao Huang	C-PRP	M5419/782469299187971113 : 3EBACF181D84CF48
2023-07-09	-anonymous-	NF-PM1	B1=46000000000, B2=193133848036379250
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2020-04-17	Oliver Kruse	C-PRP	M5419/782469299187971113 : 3EBACF181D84CF48
2017-10-12	kkmrkkblmbrbk	C-PRP	M5419/782469299187971113 : CC3BB9914F5200F1
2017-09-21	Oliver Kruse	C-PRP	M5419/782469299187971113 : CC3BB9914F5200F1
2017-09-21	Oliver Kruse	C-PRP	M5419/782469299187971113 : CC3BB9914F5200F1