22 147 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
221471	6	17.8	old
9383346104165379921019354633	28	92.9	2009-06-03 01:40:45
1601676352131316587663844186543	31	100.3	2018-06-13 14:48:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1352 / 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	3D6781118A154FE1	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	3D6781118A154FE1	2	9216	1	3
Verified	2018-06-14	Daniil Tsarkov	8F223DAB76303CDE	3	14211	5	3
Verified	2018-06-16	Oliver Kruse	8F223DAB76303CDE	3	6104	5	3

History

Date	User	Type	Result
2023-12-21	nordi	NF-PM1	B1=12000000000, B2=3612207426077250
2023-04-11	nordi	NF-PM1	B1=12000000000
2021-06-28	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2018-06-16	Oliver Kruse	C-PRP	M22147/221471/9383346104165379921019354633/1601676352131316587663844186543 : 8F223DAB76303CDE PRP: Verified PRP without proof (small exponent)
2018-06-14	Daniil Tsarkov	C-PRP	M22147/221471/9383346104165379921019354633/1601676352131316587663844186543 : 8F223DAB76303CDE PRP: Verified PRP without proof (small exponent)
2018-06-13	kkmrkkblmbrbk	F-ECM	Factor: 1601676352131316587663844186543 / (ECM curve 150, B1=1000000, B2=100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M22147/221471/9383346104165379921019354633 : 3D6781118A154FE1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M22147/221471/9383346104165379921019354633 : 3D6781118A154FE1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M22147/221471/9383346104165379921019354633 : 3D6781118A154FE1 PRP without proof (not generated)
2016-11-22	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-06-03	-Anonymous-	F-ECM	Factor: 9383346104165379921019354633