12 829 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
76871369	8	26.2	old
84519607273	11	36.3	2008-08-26 19:58:38
16081182682626412318795617019337	32	103.7	2012-08-27 11:12:30
1733991250431959462511920452114954081	37	120.4	2021-09-15 11:48:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1587 / 9201

Estimated T-Level: 40.9 ⓘ

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	16775B8069C883C0	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	16775B8069C883C0	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	16775B8069C883C0	3	2485	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	5E8041F4DBA8E97C	3	9793	5	3
Verified	No proof (small exponent)	2021-09-15	SRJ2877	5E8041F4DBA8E97C	4	8510	5	3

History

Date	User	Type	Result
2025-03-04	masser	NF-PP1	Start=166/61, B1=430000000, B2=429570000000
2025-02-17	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-17	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-27	-anonymous-	NF-PM1	B1=100000000000, B2=120417199046794650
2023-05-15	JacobZ	NF-PM1	B1=8600000000, B2=36024966470342850
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2021-09-15	SRJ2877	C-PRP	M12829/76871369/84519607273/16081182682626412318795617019337/1733991250431959462511920452114954081 : 5E8041F4DBA8E97C
2021-09-15	nordi	F-ECM	Factor: 1733991250431959462511920452114954081 / ECM curve 79, B1=3000000, B2=528000000, Montgomery Sigma=836948325433098
2020-04-17	Oliver Kruse	C-PRP	M12829/76871369/84519607273/16081182682626412318795617019337 : 5E8041F4DBA8E97C
2017-12-07	ATH	C-PRP	M12829/76871369/84519607273/16081182682626412318795617019337 : 16775B8069C883C0
2017-10-02	kkmrkkblmbrbk	C-PRP	M12829/76871369/84519607273/16081182682626412318795617019337 : 16775B8069C883C0
2017-09-21	Oliver Kruse	C-PRP	M12829/76871369/84519607273/16081182682626412318795617019337 : 16775B8069C883C0
2012-08-27	BloodIce	F-ECM	Factor: 16081182682626412318795617019337
2008-08-26	-anonymous-	F	Factor: 84519607273