private static boolean IsPrime(int Number)
{
int maxchk = (int) Math.ceil( Math.sqrt(Number) ); //makes it faster because we check less
boolean isit = true;
for (int i=2; i<=maxchk; i++)
{
if (Number % i ==0)
isit=false;
}
return isit;
}
Simply call this from inside a for loop, EG
for (int i=3; i<=N; i++)
isPrime(i)
Simply use a for loop (i) that runs from 2 to N-1. Checking if N % i 0 then its a prime number.
To write a Java program to check if a number is a twisted prime or not, you first need to create a function that checks if the number is prime. You can do this by iterating from 2 to the square root of the number and checking if the number is divisible by any of these values. Once you have verified that the number is prime, you can then check if the number remains prime after twisting its digits (reversing the number and checking if the reversed number is also prime). If both conditions are met, then the number is a twisted prime.
No. All integers are divisible by 1 and themselves. Prime numbers are only divisible by 1 and themselves. Since you were not told that only 1 and n divide into n, you do not know if it is prime. Also, if n = 1, it is neither a prime number nor a composite number.
Either it is a prime or put m = n! Is that it?
#include<iostream.h> #include<conio.h> void prime(int n) { clrscr(); int num; cout<<"enter the numbers"<<endl; cin>>num; prime(num); getch(); } void prime(int n) { int prime=1,i; for(i=2;i<=n/2;i++) if(n%i==1) prime=0; if(prime==1) cout<<"the number"<<n>>"is prime"; else cout<<"the number"<<n<<"is not prime"; }
Yes. To prove this, we must first assume the answer to be no. If there are a finite number of primes, there must be a largest prime. We'll call this prime number n. n! is n*(n-1)*(n-2)*...*3*2*1. n!, therefore, is divisible by all numbers smaller than or equal to n. It follows, then that n!+1 is divisible by none of them, except for 1. There are two possibilities: n!+1 is divisible by prime numbers between n and n!, or it is itself prime. Either way, we have proved that there are prime numbers greater than n, contradicting our initial assumption that primes are finite, proving that the number of primes is infinite.
where to start? do you have an algorithm and just want to implement it in java? depends on how big N is, as that will determine which method is most efficient
Yes. To prove this, we must first assume the answer to be no. If there are a finite number of primes, there must be a largest prime. We'll call this prime number n. n! is n*(n-1)*(n-2)*...*3*2*1. n!, therefore, is divisible by all numbers smaller than or equal to n. It follows, then that n!+1 is divisible by none of them, except for 1. There are two possibilities: n!+1 is divisible by prime numbers between n and n!, or it is itself prime. Either way, we have proved that there are prime numbers greater than n, contradicting our initial assumption that primes are finite, proving that the number of primes is infinite.
1) A prime number should have exactly two distinct factors. The factors are 1 and the number itself. 2) If n is a prime number, then, n should not be a factor of (n-1)! Ex: 5 is a prime. 4!=24. 5 is not a factor of 24. 3) Any prime number greater than or equal to 3, can be expressed in a form of 6K+1 or 6k-1 ; where K=0,1,2,3,4,..................
Take each number in turn, call it "n", and check whether it has any factors f, such that 1 < f < n. If it doesn't, it is a prime number.Take each number in turn, call it "n", and check whether it has any factors f, such that 1 < f < n. If it doesn't, it is a prime number.Take each number in turn, call it "n", and check whether it has any factors f, such that 1 < f < n. If it doesn't, it is a prime number.Take each number in turn, call it "n", and check whether it has any factors f, such that 1 < f < n. If it doesn't, it is a prime number.
#include<stdio.h> #include<conio.h> void main() { int n,a=2; clrscr(); printf("\n enter n"); scanf("%d",&n); if(i<=a-1) { if(a%i==0) { printf("\n the given number is not a prime number"); break; } i++; if(a==i) { printf("\n the given number is a prime number"); } getch(); output: enter the value of n:2 the given number is prime number
// Print prime number series. class prime { void main () { int i = 1; int C = 0; int n = 1; int X = 0; while (X != 1000) { if ( n % i n ) { C = 0; n++ ; i = 0; } } i++ ; } } }