14 143 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
3994360676671	13	41.9	old
697192901027082290953	21	69.2	2008-08-29 02:24:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1428 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	35905011FB80691C	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	35905011FB80691C	2	3121	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	27AA50ECC691E412	2	12234	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	27AA50ECC691E412	2	8195	5	3

History

Date	User	Type	Result
2025-02-16	masser	NF-PP1	Start=112/61, B1=355000000, B2=354645000000
2025-02-08	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-20	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14143/3994360676671/697192901027082290953 : 27AA50ECC691E412
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=122815096988293710
2022-03-19	Ethan O'Connor	NF-PM1	B1=10000000000, B2=32989632012677340
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M14143/3994360676671/697192901027082290953 : 27AA50ECC691E412
2017-10-12	kkmrkkblmbrbk	C-PRP	M14143/3994360676671/697192901027082290953 : 35905011FB80691C
2017-09-21	Oliver Kruse	C-PRP	M14143/3994360676671/697192901027082290953 : 35905011FB80691C
2017-09-21	Oliver Kruse	C-PRP	M14143/3994360676671/697192901027082290953 : 35905011FB80691C
2008-08-29	-anonymous-	F-ECM	Factor: 697192901027082290953