The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.

The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.

Date of Patent:
Oct. 31, 2000

Filed:

Oct. 06, 1998
Applicant:
Inventor:

Michio Shimada, Tokyo, JP;

Assignee:

NEC Corporation, Tokyo, JP;

Attorney:
Primary Examiner:
Int. Cl.
CPC ...
G06F / ;
U.S. Cl.
CPC ...
708250 ;
Abstract

A generator 101 produces randomly an integer A.sub.1 which satisfies 0.ltoreq.A<(P.sub.1 -1)(P.sub.2 -1) . . . (P.sub.m -1), in synchronism With a clock pulse applied via an input terminal 180, where each of P.sub.1, P.sub.2, . . . P.sub.m is a prime number equal to or more than 2. First calculating means 4 calculates an integer X, whose probability of being a prime number is high, using the integer A based on equation X=a.sub.1 (P.sub.1 P.sub.2. . . P.sub.m /P.sub.1)B.sub.1 +a.sub.2 (P.sub.1 P.sub.2. . . P.sub.m /P.sub.2)B.sub.2 +a.sub.m (P.sub.1 P.sub.2. . . P.sub.m /P.sub.m)B.sub.m (mod P.sub.1 P.sub.2. . . P.sub.m). In this case, a.sub.k (k=1, 2, . . . , m) is an integer which satisfies congruence equation a.sub.k (P.sub.1 P.sub.2. . . P.sub.m /P.sub.k)=1 (mod P.sub.k), while B.sub.k represents {A mod (P.sub.k -1)}+1. An adder 107 outputs the integer X as an integer with a predetermined number of bits.


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