13 781 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
86057505502702608247	20	66.2	old
30171602035447264429883562923513	32	104.6	2017-05-30 04:15:46

P-1 factors

Date	Factors	B1	B2
2024-01-29	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1523 / 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	60798D6B4F810FD8	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	60798D6B4F810FD8	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	60798D6B4F810FD8	2	7122	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	91982AEFE8C39564	2	12973	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	91982AEFE8C39564	2	3489	5	3

History

Date	User	Type	Result
2025-02-21	masser	NF-PP1	Start=79/61, B1=430000000, B2=429570000000
2025-02-10	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-23	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13781/30171602035447264429883562923513/86057505502702608247 : 91982AEFE8C39564
2024-01-29	-anonymous-	F-PM1	Factor: 30171602035447264429883562923513 / B1=100000000000, B2=122154521813133810
2023-05-21	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=248016220902450
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13781/86057505502702608247/30171602035447264429883562923513 : 91982AEFE8C39564
2017-12-07	ATH	C-PRP	M13781/86057505502702608247/30171602035447264429883562923513 : 60798D6B4F810FD8
2017-10-02	kkmrkkblmbrbk	C-PRP	M13781/86057505502702608247/30171602035447264429883562923513 : 60798D6B4F810FD8
2017-09-21	Oliver Kruse	C-PRP	M13781/86057505502702608247/30171602035447264429883562923513 : 60798D6B4F810FD8
2017-05-30	kkmrkkblmbrbk	F-ECM	Factor: 30171602035447264429883562923513