14 831 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
29663	5	14.9	old
38708911	8	25.2	2008-08-26 19:58:44
1150002201807377	16	50.0	2008-08-26 19:58:44
5132545364928588758689	22	72.1	2008-08-29 02:24:35
5637329713717761243958519325777567	34	112.1	2015-08-10 03:26:14

P-1 factors

Date	Factors	B1	B2
2024-03-07	No new factors discovered	100000000000	122154521813133808
2022-03-18	No new factors discovered	50000000	50000000

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1422 / 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	9E059A67525C1D31	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9E059A67525C1D31	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	9E059A67525C1D31	5	5294	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6293DE424A5EF3FB	5	10195	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	6293DE424A5EF3FB	1	2328	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	6293DE424A5EF3FB	5	10530	5	3

History

Date	User	Type	Result
2025-02-04	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-02-04	masser	NF-PP1	Start=173/71, B1=355000000, B2=354645000000
2025-01-14	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14831/1150002201807377/29663/38708911/5132545364928588758689/5637329713717761243958519325777567 : 6293DE424A5EF3FB
2024-03-07	-anonymous-	F-PM1	Factor: 5132545364928588758689 / B1=100000000000, B2=122154521813133810
2023-05-27	JacobZ	NF-PM1	B1=7300000000, B2=30020805351537000
2022-05-12	Jorge Coveiro	C-PRP	M14831/29663 : 6293DE424A5EF3FB
2022-03-18	PrimeNR	F-PM1	Factor: 1320458319206560190031327361 / B1=50000000
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14831/29663/38708911/1150002201807377/5132545364928588758689/5637329713717761243958519325777567 : 6293DE424A5EF3FB
2017-12-07	ATH	C-PRP	M14831/29663/38708911/1150002201807377/5132545364928588758689/5637329713717761243958519325777567 : 9E059A67525C1D31
2017-10-02	kkmrkkblmbrbk	C-PRP	M14831/29663/38708911/1150002201807377/5132545364928588758689/5637329713717761243958519325777567 : 9E059A67525C1D31
2017-09-21	Oliver Kruse	C-PRP	M14831/29663/38708911/1150002201807377/5132545364928588758689/5637329713717761243958519325777567 : 9E059A67525C1D31
2017-09-21	Oliver Kruse	C-PRP	M14831/29663/38708911/1150002201807377/5132545364928588758689/5637329713717761243958519325777567 : 9E059A67525C1D31
2015-08-10	BloodIce	F-ECM	Factor: 5637329713717761243958519325777567
2008-08-29	-anonymous-	F-ECM	Factor: 5132545364928588758689
2008-08-26	-anonymous-	F-PM1	Factor: 1150002201807377
2008-08-26	-anonymous-	F	Factor: 38708911