238 223 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
101482999	9	26.6	old
83701301092111548991	20	66.2	2015-01-02 14:32:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	162 / 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	01C1EBA532DEE4BF	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	01C1EBA532DEE4BF	2	10080	1	3
Verified	2020-04-17	Oliver Kruse	67AEA6AF1C971E82	2	139898	5	3
Verified	2024-02-03	Wentao Huang	67AEA6AF1C971E82	2	21782	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	M238223/101482999/83701301092111548991 : 67AEA6AF1C971E82 PRP proof power = 5 PRP: Verified Proof certified good
2022-04-03	Oliver Kruse	NF-PM1	B1=30000000, B2=10120247026890
2021-07-14	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-04-17	Oliver Kruse	C-PRP	M238223/101482999/83701301092111548991 : 67AEA6AF1C971E82 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M238223/101482999/83701301092111548991 : 01C1EBA532DEE4BF PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M238223/101482999/83701301092111548991 : 01C1EBA532DEE4BF PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M238223/101482999/83701301092111548991 : 01C1EBA532DEE4BF PRP without proof (not generated)
2015-01-02	TJAOI	F-ECM	Factor: 83701301092111548991 / (ECM curve 24, B1=50000, B2=5000000)