11 239 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6873165246743	13	42.6	old
975715811256833	15	49.8	2008-08-26 19:58:34
48537440385557497679	20	65.4	2008-08-29 02:24:27
4983983203252354763257	22	72.1	2008-08-29 02:24:27
62220334677879166679310123121995559962607	41	135.5	2016-12-10 05:26:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1747 / 9201

Estimated T-Level: 40.9 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	5E55DCD8122EB786	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	5E55DCD8122EB786	5	0	1	3
Verified	2017-12-07	ATH	5E55DCD8122EB786	5	10506	1	3
Verified	2020-04-17	Oliver Kruse	18F12461736C543C	5	3647	5	3
Verified	2024-07-01	kkmrkkblmbrbk	18F12461736C543C	5	11097	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-10	62220334677879166679310123121995559962607	10000000000	203242774494058
2022-12-30	3020015785196995923100014362027039104881446850211153729289153	100000000000	122192573512709696

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M11239/48537440385557497679/4983983203252354763257/62220334677879166679310123121995559962607/6873165246743/975715811256833 : 18F12461736C543C PRP: Verified PRP without proof (small exponent)
2022-12-30	-Anonymous-	F-PM1	Factors: 48537440385557497679,62220334677879166679310123121995559962607 / (P-1, B1=100000000000, B2=122192573512709700)
2020-04-17	Oliver Kruse	C-PRP	M11239/6873165246743/975715811256833/48537440385557497679/4983983203252354763257/62220334677879166679310123121995559962607 : 18F12461736C543C PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M11239/6873165246743/975715811256833/48537440385557497679/4983983203252354763257/62220334677879166679310123121995559962607 : 5E55DCD8122EB786 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M11239/6873165246743/975715811256833/48537440385557497679/4983983203252354763257/62220334677879166679310123121995559962607 : 5E55DCD8122EB786 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11239/6873165246743/975715811256833/48537440385557497679/4983983203252354763257/62220334677879166679310123121995559962607 : 5E55DCD8122EB786 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M11239/6873165246743/975715811256833/48537440385557497679/4983983203252354763257/62220334677879166679310123121995559962607 : 5E55DCD8122EB786 PRP without proof (not generated)
2016-12-10	kkmrkkblmbrbk	F-PM1	Factor: 62220334677879166679310123121995559962607 / (P-1, B1=10000000000, B2=203242774494058)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 4983983203252354763257
2008-08-29	-Anonymous-	F-ECM	Factor: 48537440385557497679
2008-08-26	-Anonymous-	F-PM1	Factor: 975715811256833