14 533 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
45439197527	11	35.4	old
530307591896820740936327466348939929521	39	128.6	2023-08-02 16:18:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1290 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	C50F2AC239BA336E	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	C50F2AC239BA336E	1	926	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	D1D2BAA2F5BF16CD	1	3914	5	3
Verified	2023-08-02	Denial140	D1D2BAA2F5BF16CD	2	9006	5	3

History

Date	User	Type	Result
2024-02-09	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-08-02	Denial140	C-PRP	M14533/45439197527/530307591896820740936327466348939929521 : D1D2BAA2F5BF16CD PRP: Verified PRP without proof (small exponent)
2023-08-02	Denial140	F-ECM	Factor: 530307591896820740936327466348939929521 / (ECM curve 126, B1=3000000, B2=162096819885, Sigma=7487866047443088)
2023-05-25	JacobZ	NF-PM1	B1=7500000000, B2=29520458628010350
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14533/45439197527 : D1D2BAA2F5BF16CD PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M14533/45439197527 : C50F2AC239BA336E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14533/45439197527 : C50F2AC239BA336E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14533/45439197527 : C50F2AC239BA336E PRP without proof (not generated)