13 903 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite: 3 known prime factors

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
333673	6	18.3	old
6812471	7	22.7	2008-08-26 19:58:41
14270028192985856415857727636580512605743	41	133.4	2026-01-14 15:19:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1523 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	DF60D3FE16495785	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	DF60D3FE16495785	2	12422	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	43432A16A9621242	2	11879	5	3
Factored	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	43432A16A9621242	2	8511	5	3

History

Date	User	Type	Result
2026-01-14	Ryan Propper	F-ECM	Factor: 14270028192985856415857727636580512605743
2025-02-19	masser	NF-PP1	Start=181/23, B1=430000000, B2=429570000000
2025-02-09	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-22	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13903/333673/6812471 : 43432A16A9621242
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-22	JacobZ	NF-PM1	B1=7900000000, B2=32522539163164050
2023-02-11	USAFSS	NF-PM1	B1=30000000, B2=2010341563230
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13903/333673/6812471 : 43432A16A9621242
2017-10-12	kkmrkkblmbrbk	C-PRP	M13903/333673/6812471 : DF60D3FE16495785
2017-09-21	Oliver Kruse	C-PRP	M13903/333673/6812471 : DF60D3FE16495785
2017-09-21	Oliver Kruse	C-PRP	M13903/333673/6812471 : DF60D3FE16495785
2008-08-26	-anonymous-	F	Factor: 6812471