Coprime triplets

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Revision as of 12:02, 28 April 2021 by CalmoSoft (talk | contribs)
Coprime triplets is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.
Task

Find and show the smallest number which is coprime to the last two predecessors and has not yet appeared; a(1)=1, a(2)=2.
p and q are coprimes if they have no common factors other than 1.
Let p, q < 50

Ring

<lang ring> see "working..." + nl row = 2 numbers = 1:50 first = 1 second = 2 see "Coprime triplets are:" + nl see "" + first + " " + second + " "

    for n = 3 to len(numbers)
        flag1 = 1
        flag2 = 1
        if first < numbers[n]
           min = first
        else
           min = numbers[n]
        ok
        for m = 2 to min
            if first%m = 0 and numbers[n]%m = 0
               flag1 = 0
               exit
            ok
        next
        if second < numbers[n]
           min = second
        else
           min = numbers[n]
        ok
        for m = 2 to min
            if second%m = 0 and numbers[n]%m = 0 
               flag2 = 0
               exit
            ok
        next
        if flag1 = 1 and flag2 = 1
           see "" + numbers[n] + " "
           first = second 
           second = numbers[n] 
           del(numbers,n)
           row = row+1
           if row%10 = 0
              see nl
           ok
           n = 2
        ok
   next
   see nl + "Found " + row + " coprime triplets" + nl
   see "done..." + nl

</lang>

Output:
working...
Coprime triplets are:
1 2 3 5 4 7 9 8 11 13 
6 17 19 10 21 23 16 15 29 14 
25 27 22 31 35 12 37 41 18 43 
47 20 33 49 26 45 
Found 36 coprime triplets
done...