26 647 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
47804719	8	25.5	old
6766845769	10	32.7	2008-08-26 19:59:14
6418662044066454403017195216016399	34	112.3	2018-05-22 18:20:16

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	859 / 4588

Estimated T-Level: 35.9 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	382D296468483296	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	382D296468483296	2	11206	1	3
Verified	2018-05-23	Gabriel Lignelli	7D0F4CCD0C8E5180	3	20398	5	3
Verified	2018-05-24	Netanias	7D0F4CCD0C8E5180	3	1745	5	3

History

Date	User	Type	Result
2023-04-11	nordi	NF-PM1	B1=5000000000, B2=1516930270635780
2023-03-11	nordi	NF-PM1	B1=5000000000
2018-05-24	Netanias	C-PRP	M26647/47804719/6766845769/6418662044066454403017195216016399 : 7D0F4CCD0C8E5180 PRP: Verified PRP without proof (small exponent)
2018-05-23	Gabriel Lignelli	C-PRP	M26647/47804719/6766845769/6418662044066454403017195216016399 : 7D0F4CCD0C8E5180 PRP: Verified PRP without proof (small exponent)
2018-05-22	nordi	F-ECM	Factor: 6418662044066454403017195216016399 / (ECM curve 14, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M26647/47804719/6766845769 : 382D296468483296 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M26647/47804719/6766845769 : 382D296468483296 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M26647/47804719/6766845769 : 382D296468483296 PRP without proof (not generated)
2016-12-15	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 6766845769