13 933 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
289105848761	12	38.1	old
150886037950928425869089445864095743	36	116.9	2017-05-21 14:01:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1521 / 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	19A5056847ED2AA3	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	19A5056847ED2AA3	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	19A5056847ED2AA3	2	1679	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	CF18069F6F466237	2	9998	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	CF18069F6F466237	2	1635	5	3

History

Date	User	Type	Result
2025-02-18	masser	NF-PP1	Start=145/53, B1=430000000, B2=429570000000
2025-02-09	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13933/150886037950928425869089445864095743/289105848761 : CF18069F6F466237
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-22	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=30000000, B2=2010341563230
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13933/289105848761/150886037950928425869089445864095743 : CF18069F6F466237
2017-12-07	ATH	C-PRP	M13933/289105848761/150886037950928425869089445864095743 : 19A5056847ED2AA3
2017-10-02	kkmrkkblmbrbk	C-PRP	M13933/289105848761/150886037950928425869089445864095743 : 19A5056847ED2AA3
2017-09-21	Oliver Kruse	C-PRP	M13933/289105848761/150886037950928425869089445864095743 : 19A5056847ED2AA3
2017-05-21	kkmrkkblmbrbk	F-ECM	Factor: 150886037950928425869089445864095743