5 821 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
88805177	8	26.4	old
1035412015357801	16	49.9	old
3453823381356266378944405490953249	34	111.4	old
36348202120723286218045560955510792276650350847274875487537	59	194.5	2024-02-02 14:53:02

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	3290 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	EC3E3471053AEAF2	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	EC3E3471053AEAF2	3	0	1	3
Verified (Factored)	2017-12-07	ATH	EC3E3471053AEAF2	3	5337	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	277CD0A834688231	3	2713	5	3
Verified	2024-02-03	Ryan Propper	277CD0A834688231	4	1677	5	3

History

Date	User	Type	Result
2024-02-03	Ryan Propper	C-PRP	M5821/88805177/1035412015357801/3453823381356266378944405490953249/36348202120723286218045560955510792276650350847274875487537 : 277CD0A834688231 PRP: Verified PRP without proof (small exponent)
2024-02-02	Ryan Propper	F-ECM	Factor: 36348202120723286218045560955510792276650350847274875487537 / (ECM curve 6, B1=260000000, B2=7300371108030, Edwards Sigma=5587594833649672)
2023-07-21	-Anonymous-	NF-PM1	B1=43000000000, B2=180123354312952050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M5821/88805177/1035412015357801/3453823381356266378944405490953249 : 277CD0A834688231 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5821/88805177/1035412015357801/3453823381356266378944405490953249 : EC3E3471053AEAF2 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5821/88805177/1035412015357801/3453823381356266378944405490953249 : EC3E3471053AEAF2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5821/known_factors : EC3E3471053AEAF2 PRP without proof (not generated)