2 333 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
312623	6	18.3	old
25674926297	11	34.6	old
81000760381118623938863	23	76.1	old
1427351901060597447969367	25	80.2	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	40830 / 40830
60	260000000	60182 / 105362

Estimated T-Level: 57.9 ⓘ

TF below 2^187 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	C96AA2317EF57107	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	C96AA2317EF57107	4	0	1	3
Verified	2017-12-07	ATH	C96AA2317EF57107	4	1144	1	3
Verified	2020-04-17	Oliver Kruse	06F8550A58D014B2	4	1352	5	3
Verified	2024-02-03	Wentao Huang	06F8550A58D014B2	4	2029	5	3

History

Date	User	Type	Result
2024-04-22	masser	NF-PM1	B1=100000000000, B2=285940510424969400
2024-02-03	Wentao Huang	C-PRP	M2333/312623/25674926297/81000760381118623938863/1427351901060597447969367 : 06F8550A58D014B2 PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M2333/312623/25674926297/81000760381118623938863/1427351901060597447969367 : 06F8550A58D014B2 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2333/312623/25674926297/81000760381118623938863/1427351901060597447969367 : C96AA2317EF57107 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2333/312623/25674926297/81000760381118623938863/1427351901060597447969367 : C96AA2317EF57107 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2333/known_factors : C96AA2317EF57107 PRP without proof (not generated)
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12