20 147 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
19418546336326751	17	54.1	old
30056084260240526513	20	64.7	2008-08-29 02:24:41
719828310728122732153050575220223561	36	119.1	2019-03-07 06:05:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1325 / 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 (Factored)	2017-09-21	Oliver Kruse	9C507CA972B6CB2A	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	9C507CA972B6CB2A	2	1359	1	3
Verified	2019-03-07	alex	DD4D3FF3DF9231D1	3	2234	5	3
Verified	2019-03-08	artorollo	DD4D3FF3DF9231D1	3	14069	5	3

History

Date	User	Type	Result
2023-08-11	nordi	NF-PM1	B1=12000000000, B2=3601049663361150
2023-04-21	nordi	NF-PM1	B1=12000000000
2022-06-16	LordJulius	NF	no factor from 2^53 to 2^54
2022-06-16	LordJulius	NF	no factor from 2^52 to 2^53
2022-06-16	LordJulius	NF	no factor from 2^51 to 2^52
2022-06-16	LordJulius	NF	no factor to 2^51
2019-03-08	artorollo	C-PRP	M20147/19418546336326751/30056084260240526513/719828310728122732153050575220223561 : DD4D3FF3DF9231D1 PRP: Verified PRP without proof (small exponent)
2019-03-07	alex	C-PRP	M20147/19418546336326751/30056084260240526513/719828310728122732153050575220223561 : DD4D3FF3DF9231D1 PRP: Verified PRP without proof (small exponent)
2019-03-07	alex	F-ECM	Factor: 719828310728122732153050575220223561 / (ECM curve 190, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M20147/19418546336326751/30056084260240526513 : 9C507CA972B6CB2A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M20147/19418546336326751/30056084260240526513 : 9C507CA972B6CB2A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M20147/19418546336326751/30056084260240526513 : 9C507CA972B6CB2A PRP without proof (not generated)
2016-11-12	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 30056084260240526513