13 249 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
2543809	7	21.3	old
420749701958627306729	21	68.5	2008-08-29 02:24:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1579 / 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	E27EBBCEE64658D7	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	E27EBBCEE64658D7	2	8676	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	0788AD1D1CADA0BE	2	1092	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	0788AD1D1CADA0BE	2	5175	5	3

History

Date	User	Type	Result
2025-02-27	masser	NF-PP1	Start=83/43, B1=430000000, B2=429570000000
2025-02-01	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-30	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13249/2543809/420749701958627306729 : 0788AD1D1CADA0BE
2023-10-10	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-18	JacobZ	NF-PM1	B1=8300000000, B2=34023579430740900
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13249/2543809/420749701958627306729 : 0788AD1D1CADA0BE
2017-10-12	kkmrkkblmbrbk	C-PRP	M13249/2543809/420749701958627306729 : E27EBBCEE64658D7
2017-09-21	Oliver Kruse	C-PRP	M13249/2543809/420749701958627306729 : E27EBBCEE64658D7
2017-09-21	Oliver Kruse	C-PRP	M13249/2543809/420749701958627306729 : E27EBBCEE64658D7
2008-08-29	-anonymous-	F-ECM	Factor: 420749701958627306729