14 503 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
288449151791	12	38.1	old
77021943525315443758993	23	76.0	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	1274 / 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	2017-09-21	Oliver Kruse	205A5A1FCE96B002	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	205A5A1FCE96B002	2	13954	1	3
Verified	2020-04-17	Oliver Kruse	6B83516F39D3EEE6	2	8096	5	3
Verified	2024-07-01	kkmrkkblmbrbk	6B83516F39D3EEE6	2	10624	5	3

P-1 factors

Date	Factor	B1	B2
2024-02-09	77021943525315443758993	100000000000	122154521813133808

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14503/288449151791/77021943525315443758993 : 6B83516F39D3EEE6 PRP: Verified PRP without proof (small exponent)
2024-02-09	-Anonymous-	F-PM1	Factor: 77021943525315443758993 / (P-1, B1=100000000000, B2=122154521813133810)
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	M14503/288449151791/77021943525315443758993 : 6B83516F39D3EEE6 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M14503/288449151791/77021943525315443758993 : 205A5A1FCE96B002 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14503/288449151791/77021943525315443758993 : 205A5A1FCE96B002 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14503/288449151791/77021943525315443758993 : 205A5A1FCE96B002 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 77021943525315443758993