Step by Step solution about How to resolve the algorithm Honaker primes step by step in the Go programming language

The provided Go program is designed to identify and print a specific set of prime numbers known as Honaker primes. Honaker primes are primes whose digit sum (the sum of the individual digits of the number) is equal to the digit sum of the previous prime.

Here's a detailed explanation of the code:

1. Importing Libraries:

   • The program begins by importing the necessary libraries:
     • "fmt": Used for input/output operations.
     • "rcu": A custom library likely containing functions for working with primes and digit sums.

2. Main Function:

   • The main function is the entry point of the program.

3. Generating Prime Numbers:

   • The program generates a slice of prime numbers up to 5 million using the Primes function from the rcu library. The result is stored in the primes slice.

4. Identifying Honaker Primes:

   • The program enters a loop to iterate through the primes and identify Honaker primes:
     • It calculates the digit sum of the current prime (using DigitSum(primes[i-1], 10)).
     • It then calculates the digit sum of the index of the prime (using DigitSum(i, 10)).
     • If the digit sums match, it means the prime is a Honaker prime.
     • The program maintains a count of Honaker primes. If the count is less than or equal to 50, it adds the index and prime to a slice h. If the count is exactly 10000, it stores the index and prime in the h10000 array.

5. Displaying Results:

   • The program prints the first 50 Honaker primes in a formatted table, including both the index and the prime number.
   • It also prints the 10,000th Honaker prime separately.

6. Custom Functions from the rcu Library:

   • The program relies on several functions imported from the rcu library, which are not defined in the provided code:
     • Primes(n int): Likely generates a slice of prime numbers up to n.
     • DigitSum(n int, base int): Calculates the digit sum of n in a given base (10 for decimal digits).
     • Commatize(n int): Formats a large integer with commas for readability.

package main

import (
    "fmt"
    "rcu"
)

func main() {
    primes := rcu.Primes(5_000_000)
    var h [][2]int
    var h10000 [2]int
    for i, count := 1, 0; count < 10000; i++ {
        if rcu.DigitSum(i, 10) == rcu.DigitSum(primes[i-1], 10) {
            count++
            if count <= 50 {
                h = append(h, [2]int{i, primes[i-1]})
            } else if count == 10000 {
                h10000 = [2]int{i, primes[i-1]}
            }
        }
    }
    fmt.Println("The first 50 Honaker primes (index, prime):\n")
    for i := 0; i < 50; i++ {
        fmt.Printf("(%3d, %5s) ", h[i][0], rcu.Commatize(h[i][1]))
        if (i+1)%5 == 0 {
            fmt.Println()
        }
    }
    fmt.Printf("\nand the 10,000th: (%7s, %9s)\n", rcu.Commatize(h10000[0]), rcu.Commatize(h10000[1]))
}