12 073 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
362191	6	18.5	old
845111	6	19.7	2008-08-26 19:58:36
26729623	8	24.7	2008-08-26 19:58:36
1916946279823	13	40.8	2008-08-26 19:58:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1675 / 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	12577FC3BD06217B	4	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	12577FC3BD06217B	4	12016	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1E8E304790F4B5E1	4	7811	5	3
Verified	No proof (small exponent)	2023-05-19	-anonymous-	1E8E304790F4B5E1	4	11420	5	3

History

Date	User	Type	Result
2025-03-08	masser	NF-PP1	Start=78/19, B1=430000000, B2=429570000000
2025-02-27	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	M12073/362191/845111/26729623/1916946279823 : 1E8E304790F4B5E1
2023-04-06	-anonymous-	NF-PM1	B1=100000000000, B2=122192573512709700
2020-04-17	Oliver Kruse	C-PRP	M12073/362191/845111/26729623/1916946279823 : 1E8E304790F4B5E1
2017-10-12	kkmrkkblmbrbk	C-PRP	M12073/362191/845111/26729623/1916946279823 : 12577FC3BD06217B
2017-09-21	Oliver Kruse	C-PRP	M12073/362191/845111/26729623/1916946279823 : 12577FC3BD06217B
2017-09-21	Oliver Kruse	C-PRP	M12073/362191/845111/26729623/1916946279823 : 12577FC3BD06217B
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-anonymous-	F	Factor: 1916946279823
2008-08-26	-anonymous-	F	Factor: 26729623
2008-08-26	-anonymous-	F	Factor: 845111