How to resolve the algorithm Smarandache prime-digital sequence step by step in the Wren programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Smarandache prime-digital sequence step by step in the Wren programming language

Table of Contents

Problem Statement

The Smarandache prime-digital sequence (SPDS for brevity) is the sequence of primes whose digits are themselves prime. For example 257 is an element of this sequence because it is prime itself and its digits: 2, 5 and 7 are also prime.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Smarandache prime-digital sequence step by step in the Wren programming language

Source code in the wren programming language

import "/math" for Int

var limit = 1000
var spds = List.filled(limit, 0)
spds[0] = 2
var i = 3
var count = 1
while (count < limit) {
    if (Int.isPrime(i)) {
        var digits = i.toString
        if (digits.all { |d| "2357".contains(d) }) {
            spds[count] = i
            count = count + 1
        }
    }
    i = i + 2
    if (i > 10) {
        var j = i % 10
        if (j == 1 || j == 5) {
            i = i + 2
        } else if (j == 9) {
            i = i + 4
        }
    }
}
System.print("The first 25 SPDS primes are:")
System.print(spds.take(25).toList)
System.print("\nThe 100th SPDS prime is %(spds[99])")
System.print("\nThe 1,000th SPDS prime is %(spds[999])")

  

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