12 697 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
489164623	9	28.9	old
449597296001728876018999	24	78.6	2008-10-25 20:59:11

P-1 factors

Date	Factors	B1	B2
2023-05-22	No new factors discovered	100000000000	120417199046794656

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1476 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	88D05BAC6EB43984	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	88D05BAC6EB43984	2	8883	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	510918CC8247F03D	2	1759	5	3

History

Date	User	Type	Result
2025-03-11	masser	NF-PP1	Start=126/37, B1=430000000, B2=429570000000
2025-02-20	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2025-01-17	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2023-05-22	-anonymous-	F-PM1	Factor: 449597296001728876018999 / B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12697/489164623/449597296001728876018999 : 510918CC8247F03D
2017-10-12	kkmrkkblmbrbk	C-PRP	M12697/489164623/449597296001728876018999 : 88D05BAC6EB43984
2017-09-21	Oliver Kruse	C-PRP	M12697/489164623/449597296001728876018999 : 88D05BAC6EB43984
2017-09-21	Oliver Kruse	C-PRP	M12697/489164623/449597296001728876018999 : 88D05BAC6EB43984
2008-10-25	Will Edgington	F-ECM	Factor: 449597296001728876018999