13 567 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
10229519	8	23.3	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1527 / 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	DAF656CDF4685137	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	DAF656CDF4685137	1	1531	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AA151DBB0EC359D4	1	972	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	AA151DBB0EC359D4	1	5041	5	3

History

Date	User	Type	Result
2025-03-07	masser	NF-PP1	Start=171/11, B1=430000000, B2=429570000000
2025-02-11	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-26	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13567/10229519 : AA151DBB0EC359D4
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-19	JacobZ	NF-PM1	B1=8100000000, B2=31521845619113850
2023-01-29	ANONYMOUS	NF-PM1	B1=100000000, B2=14263032703920
2023-01-29	ANONYMOUS	NF-PM1	B1=65000, B2=7131516351960
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13567/10229519 : AA151DBB0EC359D4
2017-10-12	kkmrkkblmbrbk	C-PRP	M13567/10229519 : DAF656CDF4685137
2017-09-21	Oliver Kruse	C-PRP	M13567/10229519 : DAF656CDF4685137
2017-09-21	Oliver Kruse	C-PRP	M13567/10229519 : DAF656CDF4685137