14 033 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1324 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	48981F0FB65E112F	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	48981F0FB65E112F	5	0	1	3
Verified	2017-12-07	ATH	48981F0FB65E112F	5	12930	1	3
Unverified	2020-04-17	Oliver Kruse	E4568895B87BA5__	5	9041	5	3

P-1 factors

Date	Factor	B1	B2
2024-01-29	12162015234549382408993659906796720145233121	100000000000	122154521813133808

History

Date	User	Type	Result
2024-01-29	-Anonymous-	F-PM1	Factors: 2332966266085570691423,5213112341720972308927 / (P-1, 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 : E4568895B87BA5__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14033/84199/193445668956521/2332966266085570691423/5213112341720972308927/11421036014050568652027339573807169 : 48981F0FB65E112F PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14033/84199/193445668956521/2332966266085570691423/5213112341720972308927/11421036014050568652027339573807169 : 48981F0FB65E112F PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14033/84199/193445668956521/2332966266085570691423/5213112341720972308927/11421036014050568652027339573807169 : 48981F0FB65E112F PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14033/84199/193445668956521/2332966266085570691423/5213112341720972308927/11421036014050568652027339573807169 : 48981F0FB65E112F PRP without proof (not generated)
2017-04-30	kkmrkkblmbrbk	F-ECM	Factor: 11421036014050568652027339573807169 / (ECM curve 146, B1=1000000, B2=100000000)
2008-08-29	-Anonymous-	F-ECM	Factor: 5213112341720972308927
2008-08-29	-Anonymous-	F-ECM	Factor: 2332966266085570691423
2008-08-26	-Anonymous-	F-PM1	Factor: 193445668956521