14 869 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
291015382836481	15	48.0	old
1156005026550103	16	50.0	2008-08-29 02:24:36
435044679158265499607	21	68.6	2008-08-29 02:24:36
22043929672481002761481	23	74.2	2008-08-29 02:24:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1259 / 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	B20E08ECF91C34E0	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B20E08ECF91C34E0	4	0	1	3
Verified	2017-12-07	ATH	B20E08ECF91C34E0	4	10231	1	3
Verified	2020-04-17	Oliver Kruse	858CE1F9F68AF884	4	11797	5	3
Verified	2024-07-01	kkmrkkblmbrbk	858CE1F9F68AF884	4	13895	5	3

P-1 factors

Date	Factor	B1	B2
2022-03-18	291015382836481	100000000	100000000
2024-03-07	9590094311751866522883392990861137120237967	100000000000	122154521813133808

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14869/1156005026550103/22043929672481002761481/291015382836481/435044679158265499607 : 858CE1F9F68AF884 PRP: Verified PRP without proof (small exponent)
2024-03-07	-Anonymous-	F-PM1	Factors: 22043929672481002761481,435044679158265499607 / (P-1, B1=100000000000, B2=122154521813133810)
2022-03-23	Ethan O'Connor	NF-PM1	B1=10000000000, B2=32899790534170560
2022-03-18	onlinegame	F-PM1	Factor: 291015382836481 / (P-1, B1=100000000)
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M14869/291015382836481/1156005026550103/435044679158265499607/22043929672481002761481 : 858CE1F9F68AF884 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14869/291015382836481/1156005026550103/435044679158265499607/22043929672481002761481 : B20E08ECF91C34E0 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14869/291015382836481/1156005026550103/435044679158265499607/22043929672481002761481 : B20E08ECF91C34E0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14869/291015382836481/1156005026550103/435044679158265499607/22043929672481002761481 : B20E08ECF91C34E0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14869/291015382836481/1156005026550103/435044679158265499607/22043929672481002761481 : B20E08ECF91C34E0 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 22043929672481002761481
2008-08-29	-Anonymous-	F-ECM	Factor: 435044679158265499607
2008-08-29	-Anonymous-	F	Factor: 1156005026550103