13 669 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
300719	6	18.2	old
956831	6	19.9	2008-08-26 19:58:40
1640281	7	20.6	2008-08-26 19:58:40
5726507279850970625758280850336071	34	112.1	2021-09-30 18:20:33

P-1 factors

Date	Factors	B1	B2
2024-01-29	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	1527 / 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	2136116207B1B2F3	3	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	2136116207B1B2F3	3	11745	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	8E47A43A290BE58B	3	10894	5	3
Verified	No proof (small exponent)	2021-09-30	H Michaelson	8E47A43A290BE58B	4	8830	5	3

History

Date	User	Type	Result
2025-02-23	masser	NF-PP1	Start=128/43, B1=430000000, B2=429570000000
2025-02-11	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-26	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-01-29	-anonymous-	F-PM1	Factor: 5726507279850970625758280850336071 / B1=100000000000, B2=122154521813133810
2023-05-20	JacobZ	NF-PM1	B1=8000000000, B2=35524619698317750
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=248016220902450
2021-12-14	ANONYMOUS	NF-PM1	B1=101101101, B2=78389316415410
2021-12-14	ANONYMOUS	NF-PM1	B1=1000000, B2=9113723048430
2021-09-30	H Michaelson	C-PRP	M13669/300719/956831/1640281/5726507279850970625758280850336071 : 8E47A43A290BE58B
2021-09-30	nordi	F-ECM	Factor: 5726507279850970625758280850336071 / ECM curve 43, B1=3000000, B2=528000000, Montgomery Sigma=3506642045434585
2020-04-17	Oliver Kruse	C-PRP	M13669/300719/956831/1640281 : 8E47A43A290BE58B
2017-10-12	kkmrkkblmbrbk	C-PRP	M13669/300719/956831/1640281 : 2136116207B1B2F3
2017-09-21	Oliver Kruse	C-PRP	M13669/300719/956831/1640281 : 2136116207B1B2F3
2017-09-21	Oliver Kruse	C-PRP	M13669/300719/956831/1640281 : 2136116207B1B2F3
2008-08-26	-anonymous-	F	Factor: 1640281
2008-08-26	-anonymous-	F	Factor: 956831