3 313 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
9067301159567249	16	53.0	old
696225225527825611463	21	69.2	old
120476824658723287206713238495837161	36	116.5	old

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	16550 / 16550
55	110000000	15153 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	42F25B619FAB051E	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	42F25B619FAB051E	3	0	1	3
Verified	2017-12-07	ATH	42F25B619FAB051E	3	2602	1	3
Verified	2020-04-17	Oliver Kruse	BEC5A1E56D8BE275	3	126	5	3
Verified	2024-02-03	Wentao Huang	BEC5A1E56D8BE275	3	1264	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3313/9067301159567249/696225225527825611463/120476824658723287206713238495837161 : BEC5A1E56D8BE275 PRP: Verified PRP without proof (small exponent)
2022-04-19	mikr	NF-PM1	B1=70000000000, B2=232418112672555810
2022-01-01	LordJulius	NF-PM1	B1=10000000000, B2=1081780886416230
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=193000000000
2020-04-17	Oliver Kruse	C-PRP	M3313/9067301159567249/696225225527825611463/120476824658723287206713238495837161 : BEC5A1E56D8BE275 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3313/9067301159567249/696225225527825611463/120476824658723287206713238495837161 : 42F25B619FAB051E PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3313/9067301159567249/696225225527825611463/120476824658723287206713238495837161 : 42F25B619FAB051E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3313/known_factors : 42F25B619FAB051E PRP without proof (not generated)