34 847 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
221005597991	12	37.7	old
19730467089863	14	44.2	2008-08-26 19:59:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	815 / 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	2017-09-21	Oliver Kruse	8C690DA12FA3CDF7	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	8C690DA12FA3CDF7	2	23179	1	3
Unverified	2020-04-17	Oliver Kruse	4921AC284E1828__	2	16675	5	3

History

Date	User	Type	Result
2022-08-07	nordi	NF-PM1	B1=2000000000, B2=408370353971580
2022-06-15	nordi	NF-PM1	B1=2000000000
2020-04-17	Oliver Kruse	C-PRP	M34847/221005597991/19730467089863 : 4921AC284E1828__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M34847/221005597991/19730467089863 : 8C690DA12FA3CDF7 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34847/221005597991/19730467089863 : 8C690DA12FA3CDF7 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M34847/221005597991/19730467089863 : 8C690DA12FA3CDF7 PRP without proof (not generated)
2016-10-21	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 19730467089863