OPEN PRIME

Brand	Owner	Address	Description
OPENPRIME	Citigroup Global Markets Inc.	388 Greenwich Street New York NY 10013	OPEN PRIME;Providing on-line, non-downloadable software for order entry, trade entry and routing management services, portfolio modeling tools and preparation of reports relating to securities all for fund administration and brokerage businesses for the financial and investment industries;
	Where the owner name is not linked, that owner no longer owns the brand

Technical Examples

A method, apparatus, and article of manufacture provide the ability to rapidly generate a large prime number to be utilized in a cryptographic key of a cryptographic system. A candidate prime number is determined and a mod remainder table is initialized for the candidate prime number using conventional mod operations. If all mod remainder entries in the table are non-zero, the candidate number is tested for primality. If the candidate prime number tests positive for primality, the candidate number is utilized in a cryptographic key of a cryptographic system. If any of the table entries is zero, the candidate number and each mod remainder entry are decremented/incremented. If any mod remainder entry is less than zero or greater than the corresponding prime number, the corresponding prime number is added/subtracted to/from the mod remainder. The process then repeats until a satisfactory number is obtained.