12 821 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
1740358863860866135847769457645783	34	110.4	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3151 / 9201

Estimated T-Level: 41.7 ⓘ

TF below 2^134 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	DA8FA054BA0E432A	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	DA8FA054BA0E432A	1	3970	1	3
Unverified	2020-04-17	Oliver Kruse	E65AA21CD688C2__	1	7102	5	3

History

Date	User	Type	Result
2023-05-15	JacobZ	NF-PM1	B1=8600000000, B2=36024966470342850
2020-04-17	Oliver Kruse	C-PRP	M12821/1740358863860866135847769457645783 : E65AA21CD688C2__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M12821/1740358863860866135847769457645783 : DA8FA054BA0E432A PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12821/1740358863860866135847769457645783 : DA8FA054BA0E432A PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12821/1740358863860866135847769457645783 : DA8FA054BA0E432A PRP without proof (not generated)