14 633 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1170641	7	20.2	old
51774678057703	14	45.6	2008-08-26 19:58:43
191952977178689	15	47.4	2008-08-26 19:58:43
909480991227773406925613280951586447	36	119.5	2017-06-06 11:51:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1421 / 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	A60AFF0B15E7D270	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A60AFF0B15E7D270	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	A60AFF0B15E7D270	4	236	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6CD281613CF05046	4	1600	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	6CD281613CF05046	4	10813	5	3

History

Date	User	Type	Result
2025-02-06	masser	NF-PP1	Start=161/37, B1=355000000, B2=354645000000
2025-02-05	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-17	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14633/1170641/191952977178689/51774678057703/909480991227773406925613280951586447 : 6CD281613CF05046
2024-03-07	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-25	JacobZ	NF-PM1	B1=7400000000, B2=32522539163164050
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14633/1170641/51774678057703/191952977178689/909480991227773406925613280951586447 : 6CD281613CF05046
2017-12-07	ATH	C-PRP	M14633/1170641/51774678057703/191952977178689/909480991227773406925613280951586447 : A60AFF0B15E7D270
2017-10-02	kkmrkkblmbrbk	C-PRP	M14633/1170641/51774678057703/191952977178689/909480991227773406925613280951586447 : A60AFF0B15E7D270
2017-09-21	Oliver Kruse	C-PRP	M14633/1170641/51774678057703/191952977178689/909480991227773406925613280951586447 : A60AFF0B15E7D270
2017-06-06	kkmrkkblmbrbk	F-ECM	Factor: 909480991227773406925613280951586447
2008-08-26	-anonymous-	F	Factor: 191952977178689
2008-08-26	-anonymous-	F	Factor: 51774678057703