14 821 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
493192286429661964539529	24	78.7	old
8903756923000087869301650442799	31	102.8	2008-08-29 02:24:35

P-1 factors

Date	Factors	B1	B2
2024-03-07	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	1418 / 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	E86814ECBA06D661	2	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	E86814ECBA06D661	2	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	E86814ECBA06D661	2	10625	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C7A87193B912306A	2	1406	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	C7A87193B912306A	2	1843	5	3

History

Date	User	Type	Result
2025-02-05	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-02-04	masser	NF-PP1	Start=196/23, B1=355000000, B2=354645000000
2025-01-13	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14821/493192286429661964539529/8903756923000087869301650442799 : C7A87193B912306A
2024-03-07	-anonymous-	F-PM1	Factor: 8903756923000087869301650442799 / B1=100000000000, B2=122154521813133810
2023-05-27	JacobZ	NF-PM1	B1=7300000000, B2=30020805351537000
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14821/493192286429661964539529/8903756923000087869301650442799 : C7A87193B912306A
2017-12-07	ATH	C-PRP	M14821/493192286429661964539529/8903756923000087869301650442799 : E86814ECBA06D661
2017-10-02	kkmrkkblmbrbk	C-PRP	M14821/493192286429661964539529/8903756923000087869301650442799 : E86814ECBA06D661
2017-09-21	Oliver Kruse	C-PRP	M14821/493192286429661964539529/8903756923000087869301650442799 : E86814ECBA06D661
2017-09-21	Oliver Kruse	C-PRP	M14821/493192286429661964539529/8903756923000087869301650442799 : E86814ECBA06D661
2008-08-29	-anonymous-	F-ECM	Factor: 8903756923000087869301650442799