Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Left Truncatable Primes In number theory, a left-truncatable prime is a prime number which, in a given base, contains no 0, and if the leading ("left") digit is successively removed, then all resulting numbers are prime. For example, 9137, since 9137, 137, 37 and 7 are all prime. i. Define a SCHEME procedure, named (left-truncatable-prime? p), that takes one integer argument, p, and evaluates to true (#t) if the integer p is a left-truncatable prime and false (#f) otherwise. ii. Define a SCHEME procedure, named (nth-left-trunc-prime n), that takes one argu- ment, n, and uses the find function you write in Lab 6 and (left-truncatable-prime? p) to return the nth left-truncatable prime number.
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Transcribed Image Text:Left Truncatable Primes In number theory, a left-truncatable prime is a prime number which, in a given base, contains no 0, and if the leading ("left") digit is successively removed, then all resulting numbers are prime. For example, 9137, since 9137, 137, 37 and 7 are all prime. i. Define a SCHEME procedure, named (left-truncatable-prime? p), that takes one integer argument, p, and evaluates to true (#t) if the integer p is a left-truncatable prime and false (#f) otherwise. ii. Define a SCHEME procedure, named (nth-left-trunc-prime n), that takes one argu- ment, n, and uses the find function you write in Lab 6 and (left-truncatable-prime? p) to return the nth left-truncatable prime number.
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