12 163 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
12015608767	11	33.5	old
146738318106408757607	21	67.0	2008-08-29 02:24:29
468260016024889120497151052284795876726169	42	138.4	2014-12-25 21:43:51

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1612 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	37668C97721998A3	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	37668C97721998A3	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	37668C97721998A3	3	10641	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	3A1D2EEF3AE8F5FB	3	6011	5	3
Verified	No proof (small exponent)	2023-05-19	-anonymous-	3A1D2EEF3AE8F5FB	3	10516	5	3

History

Date	User	Type	Result
2025-03-08	masser	NF-PP1	Start=110/47, B1=430000000, B2=429570000000
2025-02-22	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-20	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-19	-anonymous-	C-PRP	M12163/12015608767/146738318106408757607/468260016024889120497151052284795876726169 : 3A1D2EEF3AE8F5FB
2023-04-06	-anonymous-	NF-PM1	B1=100000000000, B2=124652215247990430
2020-04-17	Oliver Kruse	C-PRP	M12163/12015608767/146738318106408757607/468260016024889120497151052284795876726169 : 3A1D2EEF3AE8F5FB
2017-12-07	ATH	C-PRP	M12163/12015608767/146738318106408757607/468260016024889120497151052284795876726169 : 37668C97721998A3
2017-10-02	kkmrkkblmbrbk	C-PRP	M12163/12015608767/146738318106408757607/468260016024889120497151052284795876726169 : 37668C97721998A3
2017-09-21	Oliver Kruse	C-PRP	M12163/12015608767/146738318106408757607/468260016024889120497151052284795876726169 : 37668C97721998A3
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2014-12-25	BloodIce	F-ECM	Factor: 468260016024889120497151052284795876726169
2008-08-29	-anonymous-	F-ECM	Factor: 146738318106408757607