109 279 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
3228538777	10	31.6	old
13123315111	11	33.6	2008-07-26 09:17:10
14167864114009	14	43.7	2008-07-26 09:17:10

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	591 / 1566

Estimated T-Level: 31.9 ⓘ

TF below 2^101 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	5DDBD7492EAFCE39	3	0	1	3
Verified	No proof (small exponent)	2017-10-13	kkmrkkblmbrbk	5DDBD7492EAFCE39	3	95195	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	CD5687DDBB669F8A	3	50061	5	3
Verified	Not Uploaded	2022-04-15	LordJulius	CD5687DDBB669F8A	3	97023	5	3
Verified	Certified Good	2022-11-08	LordJulius	CD5687DDBB669F8A	3	24950	5	3

History

Date	User	Type	Result
2026-02-11	Jason Lynch	NF-PM1	B1=423585000, B2=229330377155880
2025-12-16	ViliamF	NF-PM1	B1=100000000, B2=2095666793220
2022-11-08	Dry Creek Photo	CERT	Proof certified good
2022-11-08	LordJulius	C-PRP	M109279/3228538777/13123315111/14167864114009 : CD5687DDBB669F8A Proof Not Uploaded Proof Power: 5
2022-05-07	LordJulius	NF	no factor TF: 62-63
2022-05-07	LordJulius	NF	no factor TF: 61-62
2022-05-07	LordJulius	NF	no factor TF: 59-60
2022-05-07	LordJulius	NF	no factor TF: 60-61
2022-05-07	LordJulius	NF	no factor TF: 58-59
2022-05-07	LordJulius	NF	no factor TF: 57-58
2022-04-15	LordJulius	C-PRP	M109279/3228538777/13123315111/14167864114009 : CD5687DDBB669F8A Proof Not Uploaded Proof Power: 5
2020-04-17	Oliver Kruse	C-PRP	M109279/3228538777/13123315111/14167864114009 : CD5687DDBB669F8A
2017-10-13	kkmrkkblmbrbk	C-PRP	M109279/3228538777/13123315111/14167864114009 : 5DDBD7492EAFCE39
2017-09-21	Oliver Kruse	C-PRP	M109279/3228538777/13123315111/14167864114009 : 5DDBD7492EAFCE39
2017-09-21	Oliver Kruse	C-PRP	M109279/3228538777/13123315111/14167864114009 : 5DDBD7492EAFCE39
2016-12-10	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-26	J Feitsma	F	Factor: 14167864114009
2008-07-26	J Feitsma	F	Factor: 13123315111