Question

A prime number is an integer greater than 1 that is evenly divisible by only 1 and itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Create a PrimeNumber application that prompts the user for a number and then displays a message indicating whether the number is prime or not. Hint: The % operator can be used to determine if one number is evenly divisible by another. ( Java programing )

Answer #1

/*
This program should check if the given integer number is
prime.
Reminder, an integer number greater than 1 is prime if
it divisible only by itself and by 1.
In other words a prime number divided by any other natural
number
(besides 1 and itself) will have a non-zero remainder.
Your task:
Write a method called checkPrime(n) that will
take
an integer greater than 1 as an input, and return true
if that integer is prime; otherwise, it should...

A Harshad number (or a Niven number) is a number that is evenly
divisible by the sum of its digits. An example is 18 (1+8=9, 18%9 =
0). Write a function called isHarshad(num) that takes an integer as
an argument and returns True if the number is a Harshad number and
False if it is not. Then, use this function to create a list of all
of the Harshad numbers in the first 500 natural numbers.

Write the following in C:
2. An integer is said to be prime if it is divisible by only 1
and itself. Write a function called prime() that takes in one
integer number, and returns 1 (true) if the number is prime and 0
(false) otherwise. Write a program to generate six random numbers
between 1 to 100 and calls function prime() on each one to
determine if it is prime or not.

Activity 6.6.
(a)
A positive integer that is greater than 11 and not
prime is called composite.
Write a technical definition for the concept of composite number
with a similar level of detail as in the “more complete” definition
of prime number.
Note.
A number is called prime if its only divisors are 1 and
itself.
This definition has some hidden parts: a more complete
definition would be as follows.
A number is called prime if
it is an integer,...

JAVA
a.
An integer is a "Lucky Number" if it is divisible by 7 or is
divisible by 11 and it is in the range 1000 through 4000.
Write a Boolean expression that is true if and only if myNum (an
int variable) contains a Lucky Number.
b.
Let a and b represent the length and the width of a
rectangle.
The length of the diagonal of the rectangle can be calculated by
the following mathematical expression.
diagonalLength = squareRoot(a...

4. Prove that if p is a prime number greater than 3, then p is
of the form 3k + 1 or 3k + 2.
5. Prove that if p is a prime number, then n √p is irrational
for every integer n ≥ 2.
6. Prove or disprove that 3 is the only prime number of the form
n2 −1.
7. Prove that if a is a positive integer of the form 3n+2, then
at least one prime divisor...

Each natural number greater than 1 is either a prime number or
is a product of prime numbers

1. Prove that an integer a is divisible by 5 if and only if a2
is divisible by 5.
2. Deduce that 98765432 is not a perfect square. Hint: You can use
any theorem/proposition or whatever was proved in class.
3. Prove that for all integers n,a,b and c, if n | (a−b) and n |
(b−c) then n | (a−c).
4. Prove that for any two consecutive integers, n and n + 1 we
have that gcd(n,n + 1)...

Question: Squares. Write a program class named
SquareDisplay that asks the user for a positive integer no greater
than 15. The program should then display a square on the screen
using the character ‘X’. The number entered by the user will be the
length of each side of the square. For example, if the user enters
5, the program should display the following:
XXXXX
XXXXX
XXXXX
XXXXX
XXXXX
INPUT and PROMPTS. The program prompts for an
integer as follows: "Enter...

is there anything wrong with the solution. the question are from
java course
Write a main method that will request the user to enter Strings
using a JOptionPane input dialog. The method should continue
accepting strings until the user types “STOP”.
Then, using a JOptionPane message
dialog, tell the user how many of the strings begin and end with a
digit.
Answer:
import javax.swing.*;
public class IsAllLetters {
public static void main(String[] args)
{
String
input;
int count =...

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