13 171 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
290631287	9	28.1	old
7271930252981516377	19	62.7	2008-08-29 02:24:32
6107743998788605614579553	25	82.3	2008-10-25 20:59:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1581 / 9201

Estimated T-Level: 40.9 ⓘ

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	607EF1593515C227	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	607EF1593515C227	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	607EF1593515C227	3	7300	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8F8643ED4E8441D3	3	3005	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	8F8643ED4E8441D3	3	3495	5	3

History

Date	User	Type	Result
2025-02-28	masser	NF-PP1	Start=139/13, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-31	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13171/290631287/6107743998788605614579553/7271930252981516377 : 8F8643ED4E8441D3
2023-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-17	JacobZ	NF-PM1	B1=8400000000, B2=34523926202766000
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13171/290631287/7271930252981516377/6107743998788605614579553 : 8F8643ED4E8441D3
2017-12-07	ATH	C-PRP	M13171/290631287/7271930252981516377/6107743998788605614579553 : 607EF1593515C227
2017-10-02	kkmrkkblmbrbk	C-PRP	M13171/290631287/7271930252981516377/6107743998788605614579553 : 607EF1593515C227
2017-09-21	Oliver Kruse	C-PRP	M13171/290631287/7271930252981516377/6107743998788605614579553 : 607EF1593515C227
2008-10-25	Will Edgington	F-ECM	Factor: 6107743998788605614579553
2008-08-29	-anonymous-	F-ECM	Factor: 7271930252981516377