5 347 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
310127	6	18.2	old
14582605759927727925931279	26	83.6	old
6899764104437467625702179717988393	34	112.4	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	9577 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 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	CBA92E5A4432F69D	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	CBA92E5A4432F69D	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	CBA92E5A4432F69D	3	2095	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	5A3B0FEF2EA93599	3	3812	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	5A3B0FEF2EA93599	3	10	5	3

History

Date	User	Type	Result
2025-05-02	masser	NF-PP1	Start=135/13, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5347/310127/14582605759927727925931279/6899764104437467625702179717988393 : 5A3B0FEF2EA93599
2023-07-05	-anonymous-	NF-PM1	B1=58000000000, B2=237664709340158100
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	M5347/310127/14582605759927727925931279/6899764104437467625702179717988393 : 5A3B0FEF2EA93599
2017-12-07	ATH	C-PRP	M5347/310127/14582605759927727925931279/6899764104437467625702179717988393 : CBA92E5A4432F69D
2017-10-02	kkmrkkblmbrbk	C-PRP	M5347/310127/14582605759927727925931279/6899764104437467625702179717988393 : CBA92E5A4432F69D
2017-09-21	Oliver Kruse	C-PRP	M5347/known_factors : CBA92E5A4432F69D