13 963 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
335113	6	18.4	old
90492890479	11	36.4	2008-08-26 19:58:41
62567732555046115897	20	65.8	2008-08-29 02:24:33
47052394839089788711995577	26	85.3	2008-08-29 02:24:33

P-1 factors

Date	Factors	B1	B2
2023-11-30	No new factors discovered	100000000000	124499752678561264

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1520 / 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	5584C9932BDD2AB5	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5584C9932BDD2AB5	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	5584C9932BDD2AB5	4	5447	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1E2F0F3C51AF0CE1	4	3124	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	1E2F0F3C51AF0CE1	4	10939	5	3

History

Date	User	Type	Result
2025-02-18	masser	NF-PP1	Start=121/23, 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	M13963/335113/47052394839089788711995577/62567732555046115897/90492890479 : 1E2F0F3C51AF0CE1
2023-11-30	Anton Repko	F-PM1	Factor: 62567732555046115897 / B1=100000000000, B2=124499752678561260
2023-05-22	JacobZ	NF-PM1	B1=7800000000, B2=32022192391138950
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	M13963/335113/90492890479/62567732555046115897/47052394839089788711995577 : 1E2F0F3C51AF0CE1
2017-12-07	ATH	C-PRP	M13963/335113/90492890479/62567732555046115897/47052394839089788711995577 : 5584C9932BDD2AB5
2017-10-02	kkmrkkblmbrbk	C-PRP	M13963/335113/90492890479/62567732555046115897/47052394839089788711995577 : 5584C9932BDD2AB5
2017-09-21	Oliver Kruse	C-PRP	M13963/335113/90492890479/62567732555046115897/47052394839089788711995577 : 5584C9932BDD2AB5
2008-08-29	-anonymous-	F-ECM	Factor: 47052394839089788711995577
2008-08-29	-anonymous-	F-ECM	Factor: 62567732555046115897
2008-08-26	-anonymous-	F	Factor: 90492890479