11 047 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
13433153	8	23.7	old
355116863	9	28.4	2008-08-26 19:58:34
2911370569	10	31.4	2008-08-26 19:58:34
134972356471	12	37.0	2008-08-26 19:58:34
4862942412253527601298951287	28	92.0	2008-08-29 02:24:26

P-1 factors

Date	Factors	B1	B2
2022-12-29	No new factors discovered	100000000000	122192573512709696

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	2485 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	815F529120ACDA1B	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	815F529120ACDA1B	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	815F529120ACDA1B	5	399	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E6ED2B4756A50399	5	9555	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	E6ED2B4756A50399	5	362	5	3

History

Date	User	Type	Result
2025-02-22	masser	NF-PP1	Start=76/67, B1=640000000, B2=639360000000
2025-02-14	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-26	masser	NF-PP1	Start=2/7, B1=640000000, B2=639360000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11047/13433153/134972356471/2911370569/355116863/4862942412253527601298951287 : E6ED2B4756A50399
2022-12-29	-anonymous-	F-PM1	Factor: 4862942412253527601298951287 / B1=100000000000, B2=122192573512709700
2022-06-11	LordJulius	NF-PM1	B1=5000000000, B2=3347206883090070
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M11047/13433153/355116863/2911370569/134972356471/4862942412253527601298951287 : E6ED2B4756A50399
2017-12-07	ATH	C-PRP	M11047/13433153/355116863/2911370569/134972356471/4862942412253527601298951287 : 815F529120ACDA1B
2017-10-02	kkmrkkblmbrbk	C-PRP	M11047/13433153/355116863/2911370569/134972356471/4862942412253527601298951287 : 815F529120ACDA1B
2017-09-21	Oliver Kruse	C-PRP	M11047/13433153/355116863/2911370569/134972356471/4862942412253527601298951287 : 815F529120ACDA1B
2017-09-21	Oliver Kruse	C-PRP	M11047/13433153/355116863/2911370569/134972356471/4862942412253527601298951287 : 815F529120ACDA1B
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-anonymous-	F-ECM	Factor: 4862942412253527601298951287
2008-08-26	-anonymous-	F	Factor: 134972356471
2008-08-26	-anonymous-	F	Factor: 2911370569
2008-08-26	-anonymous-	F	Factor: 355116863