/* ******************************************************************************** * FUNCTION: bIsAPrime ******************************************************************************** * AUTHORS: * Flaun * * DESCRIPTION: * Finds if a given number is a Prime number. * * PARAMETERS: * uiTestNumber: An unsigned integer to test. * * RETURNS: * bTRUE or bFALSE ******************************************************************************** */ #define bTRUE 1 #define bFALSE 0 #define iNO_REMAINDER 0 #define bIS_ODD(uiNumber) ((uiNumber) & 1) typedef int BOOL BOOL bIsAPrime( unsigned int uiTestNumber) { /* 4 is the first non prime number. */ if(uiTestNumber > 3) { /* The only even prime number is 2. */ if(!bIS_ODD(uiTestNumber)) { return bFALSE; } else { /* The only numbers left to divide against are 3, 5 and 7. */ /* All numbers that are divisible by a number > 7 are divisible */ /* by a number < 8. */ unsigned int uiDivisor = 0; for(uiDivisor = 3; uiDivisor <= 7; uiDivisor += 2) { /* 3, 5, 7 are prime numbers. */ if(uiTestNumber 0){ n++;
d=2;
}
}
return n;
}
int main()
{
int nPrime = 0;
char x;
//List the first 50 prime numbers starting from 0
for(int i =0; i<=50; i++){
cout<< (nPrime = NextPrime(nPrime))<<", ";
}
cin>>x;
exit(0);
}
--------------------------------------------------------------------------------------
Here is a relatively fast java algorithm to print out the primes between 1 and 100:
public static void main(String [] args)
{
boolean found=false;
double current=2;
while(current<100)
{
for (double count=2;count<=Math.sqrt(current);count++)
{
if (current/count2%1==0)
{
found=true;
break;
}
}
if (!found)
{
System.out.println(""+((int)current));
}
current++;
}
}
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
There are no prime numbers between 114 and 126.
There are no prime numbers between 33 and 36.
The prime numbers between 30 and 40 are 31 and 37.The prime numbers between 30 and 40 are 31 and 37.
Prime Factorization is finding which prime numbers multiply together to make the original number.
The sieve of Eratosthenes is a simple, ancient algorithm for finding all prime numbers up to any given limit.
Euclid's algorithm is probably the most commonly used 'formula' for that purpose. If the greatest common factor is 1, the numbers are relatively prime. See the related question for an example of Euclid's algorithm.
Algorithm: to generate all prime numbers between the limits l1 and l2.Input: l1 and l2Output: Prime numbers between l1 and l2Method:for (n=l1 to l2 in steps of 1 do)prime=truefor (i=2 to n/2 in steps of 1 do)if (n % i =0)prime = falsebreakend_ifend_forif (prime = true)Display 'Prime number is =', nend_for
There is no known system for finding prime numbers.
You can write out this algorithm. This will then be programmed into the device to make determining prime numbers easier.
No difference. Once you've found the factors of a number, the prime numbers on that list are the prime factors.
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What exactly do you mean "yields only prime numbers"? If you mean a formula that when given the numbers n=1, 2, 3, ... and so on generates the nth prime number (or a different prime number for each n) then no. If you mean an algorithm whereby a number can be tested to be a prime number then yes. (Using this prime_test algorithm, a simple algorithm can be written that would supply numbers one at a time to it and use its result to decide whether to yield the tested number or not, only yielding those numbers which pass the test.)
The algorithm is fairly straightforward. For any integer i greater than or equal to zero:i is non-prime if i is less than 2.otherwise, i is prime if i is 2.otherwise, i is non-prime if i is greater than 2 but is divisible by 2.otherwise, i is non-prime if it has any prime factors less than or equal to its square root.otherwise, i is prime.Step 4 is easier to implement by testing all odd divisors from 3 to the square root of i.
To find out the difference between prime numbers and composite numbers because prime numbers are useful in finding the lowest common multiple of numbers or the highest common factor of numbers.
by finding the prime numbers up to 100
If you take all the common prime factors between numbers and multiply them it will give you the gcf.