(a) Write a Java program that computes and prints out all prime numbers <200. Print these prime numbers 8 in a row. A prime number is a positive integer > 1 with 1 and itself as the only two divisors. So, 2, 3, 5, 7, 11, 13, 17, 19 are the first 8 prime integers. To compute prime numbers, you may use the % (modulo) operator.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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(a) Write a Java program that computes and prints out all prime numbers < 200. Print these prime numbers 8 in
a row. A prime number is a positive integer > 1 with 1 and itself as the only two divisors. So, 2, 3, 5, 7, 11, 13,
17, 19 are the first 8 prime integers. To compute prime numbers, you may use the % (modulo) operator.
(b) Enhance your
Java program
to compute the total number of prime number less than 1000. You do not have
to print out the prime numbers 8 in a row; just how many they are. To clarify this question, if I ask you to
compute and print prime numbers less than 100, you'll print 2 3 5 7 11 13 17 19 in the first row, 23 29 31
37 41 43 47 53 in the second row etc; but if I ask you to compute the total number of prime numbers less
than 100, then the total is 25 since there are 25 prime numbers from 2 ,3 up to 89, 97, less than 100.
(c) A prime twin pair is a pair of two odd prime numbers p and p+2. {3, 5} and {5, 7} are both prime twins
while {7, 9} and {53, 59} are not prime twins since 9 is not a prime and 53 and 59 differ by more than 2.
Enhance your Java program to compute and print all the prime twin pairs less than 300 with 4 pairs in a
row.
Transcribed Image Text:(a) Write a Java program that computes and prints out all prime numbers < 200. Print these prime numbers 8 in a row. A prime number is a positive integer > 1 with 1 and itself as the only two divisors. So, 2, 3, 5, 7, 11, 13, 17, 19 are the first 8 prime integers. To compute prime numbers, you may use the % (modulo) operator. (b) Enhance your Java program to compute the total number of prime number less than 1000. You do not have to print out the prime numbers 8 in a row; just how many they are. To clarify this question, if I ask you to compute and print prime numbers less than 100, you'll print 2 3 5 7 11 13 17 19 in the first row, 23 29 31 37 41 43 47 53 in the second row etc; but if I ask you to compute the total number of prime numbers less than 100, then the total is 25 since there are 25 prime numbers from 2 ,3 up to 89, 97, less than 100. (c) A prime twin pair is a pair of two odd prime numbers p and p+2. {3, 5} and {5, 7} are both prime twins while {7, 9} and {53, 59} are not prime twins since 9 is not a prime and 53 and 59 differ by more than 2. Enhance your Java program to compute and print all the prime twin pairs less than 300 with 4 pairs in a row.
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