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# LINQ Expression to Test If a Number is Primeby Zoran Horvat@zoranh75

Suppose that we want to test whether a given integer number greater than one is prime. We can accomplish that with a simple for loop:

```int number = 719;

bool isPrime = true;
for (int divisor = 2; divisor <= Math.Sqrt(number); divisor++)
if (number % divisor == 0)
{
isPrime = false;
break;
}

Console.WriteLine("Number {0} is {1}prime.", number, isPrime ? "" : "not ");
```

This loop works fine and it really detects that 719 is a prime number.

The same effect can be accomplished with LINQ. Here is the LINQ expression which returns exactly the same result as the previous loop:

```bool isPrime =
Enumerable.Range(2, (int)Math.Sqrt(number) - 1)
.All(divisor => number % divisor != 0);
```

This simple expression iterates through numbers up to the square root of the tested value and tries to divide the value with each of the numbers in the range. Loop exits when the first divisor is detected and subsequent divisions are not performed. This guarantees optimal execution of the expression.

Published: Dec 14, 2014

ZORAN HORVAT

Zoran is software architect dedicated to clean design and CTO in a growing software company. Since 2014 Zoran is an author at Pluralsight where he is preparing a series of courses on object-oriented and functional design, design patterns, writing unit and integration tests and applying methods to improve code design and long-term maintainability.

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