13 451 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
26903	5	14.7	old
107609	6	16.7	2008-08-26 19:58:40
2690201	7	21.4	2008-08-26 19:58:40
25744353137	11	34.6	2008-08-26 19:58:40
7150628005253909099846161	25	82.6	2009-06-09 03:20:47

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	1530 / 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	CD982DF83F2E5C95	5	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	CD982DF83F2E5C95	5	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	CD982DF83F2E5C95	5	11377	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	94404714DDBD5138	5	6012	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	94404714DDBD5138	1	10992	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	94404714DDBD5138	5	8749	5	3

History

Date	User	Type	Result
2025-02-25	masser	NF-PP1	Start=179/59, B1=430000000, B2=429570000000
2025-02-12	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-28	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13451/107609/25744353137/2690201/26903/7150628005253909099846161 : 94404714DDBD5138
2024-01-29	-anonymous-	F-PM1	Factor: 7150628005253909099846161 / B1=100000000000, B2=122154521813133810
2023-05-19	JacobZ	NF-PM1	B1=8200000000, B2=35024272926292650
2022-05-12	Jorge Coveiro	C-PRP	M13451/26903 : 94404714DDBD5138
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2020-04-17	Oliver Kruse	C-PRP	M13451/26903/107609/2690201/25744353137/7150628005253909099846161 : 94404714DDBD5138
2017-12-07	ATH	C-PRP	M13451/26903/107609/2690201/25744353137/7150628005253909099846161 : CD982DF83F2E5C95
2017-10-02	kkmrkkblmbrbk	C-PRP	M13451/26903/107609/2690201/25744353137/7150628005253909099846161 : CD982DF83F2E5C95
2017-09-21	Oliver Kruse	C-PRP	M13451/26903/107609/2690201/25744353137/7150628005253909099846161 : CD982DF83F2E5C95
2009-06-09	Rob_Dee	F-ECM	Factor: 7150628005253909099846161
2008-08-26	-anonymous-	F	Factor: 25744353137
2008-08-26	-anonymous-	F	Factor: 2690201
2008-08-26	-anonymous-	F	Factor: 107609