11 783 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
23567	5	14.5	old
25451281	8	24.6	2008-08-26 19:58:35
489271753991	12	38.8	2008-08-26 19:58:35
4712926015417235017	19	62.0	2008-08-26 19:58:35
536342501572857788554341377	27	88.8	2008-10-16 23:57:25

P-1 factors

Date	Factors	B1	B2
2023-03-26	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	1924 / 9201

Estimated T-Level: 41.0 ⓘ

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	3E382C2AD4324C28	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	3E382C2AD4324C28	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	3E382C2AD4324C28	5	11520	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	822A94CD4BDC8225	5	3101	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	822A94CD4BDC8225	1	1589	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	822A94CD4BDC8225	5	8083	5	3

History

Date	User	Type	Result
2025-03-11	masser	NF-PP1	Start=152/53, B1=430000000, B2=429570000000
2025-03-02	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M11783/23567/25451281/4712926015417235017/489271753991/536342501572857788554341377 : 822A94CD4BDC8225
2023-03-26	-anonymous-	F-PM1	Factor: 536342501572857788554341377 / B1=100000000000, B2=122192573512709700
2022-05-12	Jorge Coveiro	C-PRP	M11783/23567 : 822A94CD4BDC8225
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M11783/23567/25451281/489271753991/4712926015417235017/536342501572857788554341377 : 822A94CD4BDC8225
2017-12-07	ATH	C-PRP	M11783/23567/25451281/489271753991/4712926015417235017/536342501572857788554341377 : 3E382C2AD4324C28
2017-10-02	kkmrkkblmbrbk	C-PRP	M11783/23567/25451281/489271753991/4712926015417235017/536342501572857788554341377 : 3E382C2AD4324C28
2017-09-21	Oliver Kruse	C-PRP	M11783/23567/25451281/489271753991/4712926015417235017/536342501572857788554341377 : 3E382C2AD4324C28
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2011-02-05	Oscar Östlin	F	Factor: 293470256784458176504057
2008-10-16	-anonymous-	F-ECM	Factor: 536342501572857788554341377
2008-08-26	-anonymous-	F-ECM	Factor: 4712926015417235017
2008-08-26	-anonymous-	F	Factor: 489271753991
2008-08-26	-anonymous-	F	Factor: 25451281