12 647 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
8599961	7	23.0	old
850485457	9	29.7	2008-08-26 19:58:37
21578667537698833	17	54.3	2008-08-26 19:58:37

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1267 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	B9B6A59925043EA4	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	B9B6A59925043EA4	3	4932	1	3
Unverified	2020-04-17	Oliver Kruse	ADEDAE10BFC98D__	3	11231	5	3

History

Date	User	Type	Result
2023-05-13	Anton Repko	NF-PM1	B1=100000000000, B2=120417199046794650
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12647/8599961/850485457/21578667537698833 : ADEDAE10BFC98D__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12647/8599961/850485457/21578667537698833 : B9B6A59925043EA4 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12647/8599961/850485457/21578667537698833 : B9B6A59925043EA4 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12647/8599961/850485457/21578667537698833 : B9B6A59925043EA4 PRP without proof (not generated)
2008-08-26	-Anonymous-	F-PM1	Factor: 21578667537698833
2008-08-26	-Anonymous-	F	Factor: 850485457