10 223 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
1846703167	10	30.8	old
21638884238973433	17	54.3	2008-08-26 19:58:30

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1378 / 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	2017-09-21	Oliver Kruse	76574674B5229ABC	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	76574674B5229ABC	2	7349	1	3
Verified	2020-04-17	Oliver Kruse	928B373483B79520	2	3264	5	3
Verified	2024-07-01	kkmrkkblmbrbk	928B373483B79520	2	2687	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10223/1846703167/21638884238973433 : 928B373483B79520 PRP: Verified PRP without proof (small exponent)
2022-10-10	-Anonymous-	NF-PM1	B1=100000000000, B2=121570702234581600
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10223/1846703167/21638884238973433 : 928B373483B79520 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10223/1846703167/21638884238973433 : 76574674B5229ABC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10223/1846703167/21638884238973433 : 76574674B5229ABC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10223/1846703167/21638884238973433 : 76574674B5229ABC PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F-PM1	Factor: 21638884238973433