Cody

# Problem 45964. Compute the nth Pythagorean prime

Solution 2595994

Submitted on 22 Jun 2020 by Nikolaos Nikolaou
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### Test Suite

Test Status Code Input and Output
1   Pass
n = 1; pp_correct = 5; [pp1,a1,b1] = PythagoreanPrime(n); assert(isequal(pp1,pp_correct)) assert(a1 == floor(a1) && b1 == floor(b1) && a1^2+b1^2 == pp1)

pp = 5 a = 2 b = 1

2   Pass
n = 5; pp_correct = 37; [pp1,a1,b1] = PythagoreanPrime(n); assert(isequal(pp1,pp_correct)) assert(a1 == floor(a1) && b1 == floor(b1) && a1^2+b1^2 == pp1)

pp = 37 a = 1 b = 6

3   Pass
n = 25; pp_correct = 257; [pp1,a1,b1] = PythagoreanPrime(n); assert(isequal(pp1,pp_correct)) assert(a1 == floor(a1) && b1 == floor(b1) && a1^2+b1^2 == pp1)

pp = 257 a = 16 b = 1

4   Pass
n = 125; pp_correct = 1657; [pp1,a1,b1] = PythagoreanPrime(n); assert(isequal(pp1,pp_correct)) assert(a1 == floor(a1) && b1 == floor(b1) && a1^2+b1^2 == pp1)

pp = 1657 a = 36 b = 19

5   Pass
n = 625; pp_correct = 10313; [pp1,a1,b1] = PythagoreanPrime(n); assert(isequal(pp1,pp_correct)) assert(a1 == floor(a1) && b1 == floor(b1) && a1^2+b1^2 == pp1)

pp = 10313 a = 92 b = 43

6   Pass
n = 3125; pp_correct = 62497; [pp1,a1,b1] = PythagoreanPrime(n); assert(isequal(pp1,pp_correct)) assert(a1 == floor(a1) && b1 == floor(b1) && a1^2+b1^2 == pp1)

pp = 62497 a = 111 b = 224

7   Pass
n = 15625; pp_correct = 367229; [pp1,a1,b1] = PythagoreanPrime(n); assert(isequal(pp1,pp_correct)) assert(a1 == floor(a1) && b1 == floor(b1) && a1^2+b1^2 == pp1)

pp = 367229 a = 427 b = 430

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