JavaScript: Twin prime of a prime number

Last update on October 31 2022 08:24:20 (UTC/GMT +8 hours)

JavaScript Math: Exercise-66 with Solution

Write a JavaScript program to find the 'twin prime' of a given prime number.

From Wikipedia,
A twin prime is a prime number that is either 2 less or 2 more than another prime number-for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term twin prime is used for a pair of twin primes; an alternative name for this is prime twin or prime pair.
Usually the pair (2, 3) is not considered to be a pair of twin primes. Since 2 is the only even prime, this pair is the only pair of prime numbers that differ by one; thus twin primes are as closely spaced as possible for any other two primes.
The first few twin prime pairs are:
(3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), ....

Return value: Either the twin, or -1 if n or n + 2 is not prime number.

Sample Data:
Twin prime of 5 is:7
Twin prime of 59 is:61
Twin prime of 107 is:109
Twin prime of 61 is:-1

Sample Solution:

HTML Code:

<!DOCTYPE html>
<html>
<head>
  <meta charset="utf-8">
  <title>JavaScript function to find the twin prime number</title>
</head>
<body>

</body>
</html>

JavaScript Code:

function twin_Prime (n) {
  const prime_num = test_prime(n)

  if (!prime_num) {
    return -1
  }
  if (!test_prime(n + 2)) {
    return -1
  }

  return n + 2
}
function test_prime(n)
{
  if (n===1)
  {
    return false;
  }
  else if(n === 2)
  {
    return true;
  }
  else
  {
    for(var x = 2; x < n; x++)
    {
      if(n % x === 0)
      {
        return false;
      }
    }
    return true;  
  }
}
console.log("Twin prime of 5 is:"+twin_Prime(5))
console.log("Twin prime of 59 is:"+twin_Prime(59))
console.log("Twin prime of 107 is:"+twin_Prime(107))
console.log("Twin prime of 61 is:"+twin_Prime(61))

Sample Output:

"Twin prime of 5 is:7"
"Twin prime of 59 is:61"
"Twin prime of 107 is:109"
"Twin prime of 61 is:-1"

Flowchart:

$JavaScript Math flowchart of find Lucas number from index value$

Live Demo:

See the Pen javascript-math-exercise-66 by w3resource (@w3resource) on CodePen.

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