10 477 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
886724247641	12	39.7	old
10328244908901983761	20	63.2	2008-08-29 02:24:25
14795914746938041715671	23	73.6	2008-08-29 02:24:25
1771135822168326916939223	25	80.6	2008-08-29 02:24:25
737246528860448875288002817	27	89.3	2008-10-16 23:57:25

P-1 factors

Date	Factors	B1	B2
2022-11-09	No new factors discovered	100000000000	120443211520241616

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	3576 / 16550

Estimated T-Level: 46.1 ⓘ

TF below 2^148 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	E366EA0DE4B52C04	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	E366EA0DE4B52C04	5	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	E366EA0DE4B52C04	5	4951	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	14CBD6E787D55285	5	2992	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	14CBD6E787D55285	5	4500	5	3

History

Date	User	Type	Result
2025-02-26	masser	NF-PP1	Start=106/29, B1=640000000, B2=639360000000
2025-02-18	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-29	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10477/10328244908901983761/14795914746938041715671/1771135822168326916939223/737246528860448875288002817/886724247641 : 14CBD6E787D55285
2022-11-09	-anonymous-	F-PM1	Factors: 10328244908901983761,1771135822168326916939223 / B1=100000000000, B2=120443211520241610
2021-02-12	ViliamF	NF-PM1	B1=5000000000, B2=150000000000
2020-04-17	Oliver Kruse	C-PRP	M10477/886724247641/10328244908901983761/14795914746938041715671/1771135822168326916939223/737246528860448875288002817 : 14CBD6E787D55285
2017-10-12	kkmrkkblmbrbk	C-PRP	M10477/886724247641/10328244908901983761/14795914746938041715671/1771135822168326916939223/737246528860448875288002817 : E366EA0DE4B52C04
2017-10-02	kkmrkkblmbrbk	C-PRP	M10477/886724247641/10328244908901983761/14795914746938041715671/1771135822168326916939223/737246528860448875288002817 : E366EA0DE4B52C04
2017-09-21	Oliver Kruse	C-PRP	M10477/known_factors : E366EA0DE4B52C04
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 737246528860448875288002817
2008-08-29	-anonymous-	F-ECM	Factor: 1771135822168326916939223
2008-08-29	-anonymous-	F-ECM	Factor: 14795914746938041715671
2008-08-29	-anonymous-	F-ECM	Factor: 10328244908901983761