14 879 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
29759	5	14.9	old
119033	6	16.9	2008-08-26 19:58:44
31622315046021400139004911	26	84.7	2010-07-28 17:29:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1444 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	A4C03A72B0160E27	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A4C03A72B0160E27	3	10726	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AB2AA1FFDE682966	3	14274	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	AB2AA1FFDE682966	1	7060	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	AB2AA1FFDE682966	3	9344	5	3

History

Date	User	Type	Result
2025-02-05	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-02-03	masser	NF-PP1	Start=113/23, B1=355000000, B2=354645000000
2025-01-14	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14879/119033/29759/31622315046021400139004911 : AB2AA1FFDE682966
2024-03-07	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2022-05-12	Jorge Coveiro	C-PRP	M14879/29759 : AB2AA1FFDE682966
2022-02-18	Ethan O'Connor	NF-PM1	B1=10000000000, B2=91390135413286710
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M14879/29759/119033/31622315046021400139004911 : AB2AA1FFDE682966
2017-10-12	kkmrkkblmbrbk	C-PRP	M14879/29759/119033/31622315046021400139004911 : A4C03A72B0160E27
2017-09-21	Oliver Kruse	C-PRP	M14879/29759/119033/31622315046021400139004911 : A4C03A72B0160E27
2017-09-21	Oliver Kruse	C-PRP	M14879/29759/119033/31622315046021400139004911 : A4C03A72B0160E27
2010-07-28	James Hintz	F-ECM	Factor: 31622315046021400139004911
2008-08-26	-anonymous-	F	Factor: 119033