21 313 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
67988471	8	26.0	old
13654429207	11	33.7	2008-08-26 19:59:02
121020179333492177910149432271400524047	39	126.5	2021-10-15 21:08:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	926 / 4588

Estimated T-Level: 36.0 ⓘ

TF below 2^115 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	C643EB452F0A3A28	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	C643EB452F0A3A28	2	2766	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F19372E6A694FF96	2	11712	5	3
Verified	2021-10-15	SRJ2877	F19372E6A694FF96	3	5971	5	3

History

Date	User	Type	Result
2023-09-08	nordi	NF-PM1	B1=12000000000, B2=3617752722003420
2023-06-11	nordi	NF-PM1	B1=12000000000
2021-10-15	SRJ2877	C-PRP	M21313/67988471/13654429207/121020179333492177910149432271400524047 : F19372E6A694FF96 PRP: Verified PRP without proof (small exponent)
2021-10-15	nordi	F-ECM	Factor: 121020179333492177910149432271400524047 / (ECM curve 30, B1=3000000, B2=300000000, Sigma=1471217152715168)
2020-04-17	Oliver Kruse	C-PRP	M21313/67988471/13654429207 : F19372E6A694FF96 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M21313/67988471/13654429207 : C643EB452F0A3A28 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M21313/67988471/13654429207 : C643EB452F0A3A28 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M21313/67988471/13654429207 : C643EB452F0A3A28 PRP without proof (not generated)
2016-11-18	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 13654429207