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Pythagorean triples: Difference between revisions
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1000000: 808950 Triples, 70229 Primitives
</pre>
=={{header|Nanoquery}}==
===Brute force method===
{{trans|Java}}
<lang Nanoquery>import math
// a function to check if three numbers are a valid triple
def is_triple(a, b, c)
if not (a < b) and (b < c)
return false
end
return (a^2 + b^2) = c^2
end
// a function to check if the numbers are coprime
def is_coprime(a, b, c)
global math
return (math.gcd(a, b)=1) && (math.gcd(a, c)=1) && (math.gcd(b, c)=1)
end
// the maximum perimeter to check
perimeter = 100
perimeter2 = int(perimeter / 2) - 1
perimeter3 = int(perimeter / 3) - 1
// loop though and look for pythagorean triples
ts = 0
ps = 0
for a in range(1, perimeter3)
for b in range(a + 1, perimeter2)
for c in range(b + 1, perimeter2)
if (a + b + c) <= perimeter
if is_triple(a,b,c)
ts += 1
print a + ", " + b + ", " + c
if is_coprime(a,b,c)
ps += 1
print " primitive"
end
println
end
end
end
end
end
print "Up to a perimeter of " + perimeter + ", there are " + ts
println " triples, of which " + ps + " are primitive."</lang>
{{out}}
<pre>3, 4, 5 primitive
5, 12, 13 primitive
6, 8, 10
7, 24, 25 primitive
8, 15, 17 primitive
9, 12, 15
9, 40, 41 primitive
10, 24, 26
12, 16, 20
12, 35, 37 primitive
15, 20, 25
15, 36, 39
16, 30, 34
18, 24, 30
20, 21, 29 primitive
21, 28, 35
24, 32, 40
Up to a perimeter of 100, there are 17 triples, of which 7 are primitive.</pre>
=={{header|Nim}}==
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