227 663 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
761605587161	12	39.5	old
721808857420080910663	21	69.3	2015-01-09 16:36:10
3427337149374016169209	22	71.5	2015-08-14 10:07:39

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	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	EDA9BB4C867E64C0	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	EDA9BB4C867E64C0	3	1323	1	3
Verified	2020-04-17	Oliver Kruse	934998F5D355124A	3	44934	5	3
Verified	2024-02-03	Wentao Huang	934998F5D355124A	3	201067	5	3

History

Date	User	Type	Result
2024-02-03	Naegi Makoto	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M227663/761605587161/721808857420080910663/3427337149374016169209 : 934998F5D355124A PRP proof power = 5 PRP: Verified Proof certified good
2022-03-18	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-06-19	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M227663/761605587161/721808857420080910663/3427337149374016169209 : 934998F5D355124A PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M227663/761605587161/721808857420080910663/3427337149374016169209 : EDA9BB4C867E64C0 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M227663/known_factors : EDA9BB4C867E64C0 PRP without proof (not generated)
2015-08-14	TJAOI	F-ECM	Factor: 3427337149374016169209 / (ECM curve 16, B1=50000, B2=5000000)
2015-01-09	TJAOI	F-ECM	Factor: 721808857420080910663 / (ECM curve 38, B1=50000, B2=5000000)