163 021 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
14239503454493607294167	23	73.6	2009-04-07 06:37:35
1615146570847825039005526516376861543	37	120.3	2017-04-23 18:38:16

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	163 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Amdahl 6 - 1989	09117167	0
Verified (Factored)		Don Thomas	BBEEBCCD89117167	0
Verified (Factored)		Brian J. Beesley	BBEEBCCD89117167	0
Verified (Factored)		Eivind Triel	BBEEBCCD89117167	6019

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	E57A31E8477303EE	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	E57A31E8477303EE	2	36136	1	3
Verified	2020-04-17	Oliver Kruse	4068C5C1F9A219D2	2	109891	5	3
Verified	2024-02-03	Wentao Huang	4068C5C1F9A219D2	2	105449	5	3

P-1 factors

Date	Factor	B1	B2
2017-04-23	1615146570847825039005526516376861543	100000000	2000000000

History

Date	User	Type	Result
2024-02-03	curtisc	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M163021/14239503454493607294167/1615146570847825039005526516376861543 : 4068C5C1F9A219D2 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M163021/14239503454493607294167/1615146570847825039005526516376861543 : 4068C5C1F9A219D2 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M163021/14239503454493607294167/1615146570847825039005526516376861543 : E57A31E8477303EE PRP: Verified PRP without proof (small exponent)
2017-09-21	Oliver Kruse	C-PRP	M163021/known_factors : E57A31E8477303EE PRP without proof (not generated)
2017-04-23	kkmrkkblmbrbk	F-PM1	Factor: 1615146570847825039005526516376861543 / (P-1, B1=100000000, B2=2000000000, E=12)
2009-04-07	maxybo	F-ECM	Factor: 14239503454493607294167
2009-01-22	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-15	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-01-01	Sturle Sunde	NF	no factor from 2^58 to 2^59