A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. For example, the smallest 5 prime numbers are 2, 3, 5, 7, 11. To check if a number n is prime, it is sufficient to check if there exists no prime p such that p *p <= n and n % p == 0. Use the process described previously (trial division), to generate a list of all primes not larger than n. Return the size of the list of generated primes. >>> generate_primes (2) >> generate_primes (3) >> generate_primes (8) 4 Write the function generate_primes(n) to return the number of primes not larger than n.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. For example, the smallest 5 prime numbers are 2, 3, 5, 7, 11.
To check if a number n is prime, it is sufficient to check if there exists no prime p such that p * p <= n and n % p == 0.
Use the process described previously (trial division), to generate a list of all primes not larger than n . Return the size of the list of generated primes.
>>> generate_primes (2)
1
>>> generate_primes(3)
2
>>> generate_primes (8)
4
Write the function generate_primes (n) to return the number of primes not larger than n.
Transcribed Image Text:A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. For example, the smallest 5 prime numbers are 2, 3, 5, 7, 11. To check if a number n is prime, it is sufficient to check if there exists no prime p such that p * p <= n and n % p == 0. Use the process described previously (trial division), to generate a list of all primes not larger than n . Return the size of the list of generated primes. >>> generate_primes (2) 1 >>> generate_primes(3) 2 >>> generate_primes (8) 4 Write the function generate_primes (n) to return the number of primes not larger than n.
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