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Title: Some Negative Results Concerning Prime Number Generators
Authors: Pritchard, Paul
Keywords: computer science
technical report
Issue Date: Feb-1983
Publisher: Cornell University
Abstract: Programs due to Wirth and Misra for generating the prime numbers up to a specified limit are investigated. It is shown that Wirth's program is incorrect according to three increasingly weak criteria, and a composite number is exhibited that the program accepts as prime. This is the smallest known counter-example, and could not have been found by the usual method of program testing - the program would run for trillions of years on the fastest computer before reaching it! Closely related counter-examples are given to a conjecture of Misra concerning his program.
Appears in Collections:Computer Science Technical Reports

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