PRIME BROKERAGE SERVICES

Brand	Owner	Address	Description
PERSHING INVESTMENT MANAGER SERVICES	DLJ LONG TERM INVESTMENT CORPORATION	200 West Madison Street, Suite 1010 Chicago IL 60606	PRIME BROKERAGE SERVICES, NAMELY BROKERAGE AND DEALER SERVICES IN SECURITIES, BONDS, MUTUAL FUNDS, COMMODITIES AND INVESTMENT VEHICLES PROVIDED TO HEDGE FUND MANAGERS AND MONEY MANAGERS; FINANCIAL INVESTMENT AND MANAGEMENT SERVICES; FINANCIAL ADVISORY AND CONSULTING SERVICES;PERSHING INVESTMENT MANAGER SERVICES;INVESTMENT MANAGER SERVICES;The stippling in the drawing is for shading purposes and does not indicate color.;
	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.