14 033 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
84199	5	16.4	old
193445668956521	15	47.5	2008-08-26 19:58:41
2332966266085570691423	22	71.0	2008-08-29 02:24:33
5213112341720972308927	22	72.1	2008-08-29 02:24:34
11421036014050568652027339573807169	35	113.1	2017-04-30 22:43:07

P-1 factors

Date	Factors	B1	B2
2024-01-29	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1519 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 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	48981F0FB65E112F	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	48981F0FB65E112F	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	48981F0FB65E112F	5	12930	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E4568895B87BA558	5	9041	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	E4568895B87BA558	5	7772	5	3

History

Date	User	Type	Result
2025-02-17	masser	NF-PP1	Start=125/71, B1=430000000, B2=429570000000
2025-02-08	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-21	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14033/11421036014050568652027339573807169/193445668956521/2332966266085570691423/5213112341720972308927/84199 : E4568895B87BA558
2024-01-29	-anonymous-	F-PM1	Factors: 2332966266085570691423,5213112341720972308927 / B1=100000000000, B2=122154521813133810
2023-05-23	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M14033/84199/193445668956521/2332966266085570691423/5213112341720972308927/11421036014050568652027339573807169 : E4568895B87BA558
2017-12-07	ATH	C-PRP	M14033/84199/193445668956521/2332966266085570691423/5213112341720972308927/11421036014050568652027339573807169 : 48981F0FB65E112F
2017-10-02	kkmrkkblmbrbk	C-PRP	M14033/84199/193445668956521/2332966266085570691423/5213112341720972308927/11421036014050568652027339573807169 : 48981F0FB65E112F
2017-09-21	Oliver Kruse	C-PRP	M14033/84199/193445668956521/2332966266085570691423/5213112341720972308927/11421036014050568652027339573807169 : 48981F0FB65E112F
2017-09-21	Oliver Kruse	C-PRP	M14033/84199/193445668956521/2332966266085570691423/5213112341720972308927/11421036014050568652027339573807169 : 48981F0FB65E112F
2017-04-30	kkmrkkblmbrbk	F-ECM	Factor: 11421036014050568652027339573807169
2008-08-29	-anonymous-	F-ECM	Factor: 5213112341720972308927
2008-08-29	-anonymous-	F-ECM	Factor: 2332966266085570691423
2008-08-26	-anonymous-	F-PM1	Factor: 193445668956521