13 421 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
114369553215286965903954130633	30	96.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1576 / 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	29B642F76BB1CEE4	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	29B642F76BB1CEE4	1	7600	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	87BFC9441B0C26D9	1	307	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	87BFC9441B0C26D9	1	12648	5	3

History

Date	User	Type	Result
2025-03-09	masser	NF-PP1	Start=182/41, B1=430000000, B2=429570000000
2025-02-11	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	M13421/114369553215286965903954130633 : 87BFC9441B0C26D9
2023-12-19	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-19	JacobZ	NF-PM1	B1=8200000000, B2=35024272926292650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13421/114369553215286965903954130633 : 87BFC9441B0C26D9
2017-10-12	kkmrkkblmbrbk	C-PRP	M13421/114369553215286965903954130633 : 29B642F76BB1CEE4
2017-09-21	Oliver Kruse	C-PRP	M13421/114369553215286965903954130633 : 29B642F76BB1CEE4
2017-09-21	Oliver Kruse	C-PRP	M13421/114369553215286965903954130633 : 29B642F76BB1CEE4