13 709 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
212736263	9	27.7	old
1121944561	10	30.1	2008-08-26 19:58:41
1552824242617	13	40.5	2008-08-26 19:58:41
5508030462931748770751	22	72.2	2008-08-26 19:58:41
25982270687484888094939391	26	84.4	2008-08-29 02:24:33
11182013220187757608627831327	29	93.2	2009-07-29 09:30:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1970 / 9201

Estimated T-Level: 41.1 ⓘ

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	5725FAF2D5161341	6	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5725FAF2D5161341	6	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	5725FAF2D5161341	6	990	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BF3AB3C4FEFB2E4A	6	6799	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	BF3AB3C4FEFB2E4A	6	13134	5	3

History

Date	User	Type	Result
2025-02-22	masser	NF-PP1	Start=164/53, B1=430000000, B2=429570000000
2025-02-10	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-25	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13709/11182013220187757608627831327/1121944561/1552824242617/212736263/25982270687484888094939391/5508030462931748770751 : BF3AB3C4FEFB2E4A
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-20	JacobZ	NF-PM1	B1=8000000000, B2=35524619698317750
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=248016220902450
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M13709/212736263/1121944561/1552824242617/5508030462931748770751/25982270687484888094939391/11182013220187757608627831327 : BF3AB3C4FEFB2E4A
2017-12-07	ATH	C-PRP	M13709/212736263/1121944561/1552824242617/5508030462931748770751/25982270687484888094939391/11182013220187757608627831327 : 5725FAF2D5161341
2017-10-02	kkmrkkblmbrbk	C-PRP	M13709/212736263/1121944561/1552824242617/5508030462931748770751/25982270687484888094939391/11182013220187757608627831327 : 5725FAF2D5161341
2017-09-21	Oliver Kruse	C-PRP	M13709/212736263/1121944561/1552824242617/5508030462931748770751/25982270687484888094939391/11182013220187757608627831327 : 5725FAF2D5161341
2009-07-29	Rob_Dee	F-ECM	Factor: 11182013220187757608627831327
2008-08-29	-anonymous-	F-ECM	Factor: 25982270687484888094939391
2008-08-26	-anonymous-	F-ECM	Factor: 5508030462931748770751
2008-08-26	-anonymous-	F	Factor: 1552824242617
2008-08-26	-anonymous-	F	Factor: 1121944561