2 410 357 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
15154481336400689	17	53.8	old
22029931523895217948463	23	74.2	2018-07-12 04:24:13
76806334656364945581097	23	76.0	2023-01-04 11:31:53

ECM

Digits	B1	Curves
25	50000	65 / 280

Estimated T-Level: 21.2 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-14	kkmrkkblmbrbk	21E4B64C92C59BBA	1	1135985	5	3
Verified (Factored)	2017-11-03	Oliver Kruse	21E4B64C92C59BBA	1	797435	5	3
Verified (Factored)	2018-07-16	Gabriel Lignelli	21E4B64C92C59BBA	2	1889587	5	3
Verified (Factored)	2018-07-17	Oliver Kruse	21E4B64C92C59BBA	2	2070566	5	3
Verified	2023-01-07	LordJulius	21E4B64C92C59BBA	3	1644154	5	3

P-1 factors

Date	Factor	B1	B2
2018-07-12	22029931523895217948463	2000000	60000000

History

Date	User	Type	Result
2023-01-07	Ge yong	CERT	PRP Certification Proof certified good
2023-01-07	LordJulius	C-PRP	M2410357/15154481336400689/22029931523895217948463/76806334656364945581097 : 21E4B64C92C59BBA PRP proof power = 7 PRP: Verified Proof certified good
2023-01-04	_p95holder_	F-ECM	Factor: 76806334656364945581097 / (ECM curve 7, B1=50000, B2=5000000)
2018-07-17	Oliver Kruse	C-PRP	M2410357/15154481336400689/22029931523895217948463 : 21E4B64C92C59BBA PRP: Verified (Factored) PRP without proof (not generated)
2018-07-16	Gabriel Lignelli	C-PRP	M2410357/15154481336400689/22029931523895217948463 : 21E4B64C92C59BBA PRP: Verified (Factored) PRP without proof (not generated)
2018-07-12	alpertron	F-PM1	Factor: 22029931523895217948463 / (P-1, B1=2000000, B2=60000000, E=12)
2017-11-03	Oliver Kruse	C-PRP	M2410357/15154481336400689 : 21E4B64C92C59BBA PRP: Verified (Factored) PRP without proof (not generated)
2017-10-14	kkmrkkblmbrbk	C-PRP	M2410357/15154481336400689 : 21E4B64C92C59BBA PRP: Verified (Factored) PRP without proof (not generated)