Digit-reversible Pythagorean triplet

Number Theory Level pending

What is the smallest positive integer A such that there is a Pythagorean triplet (A,B,C) with A<B<C and the digits of B are the same as the digits of A but in reverse order?


The answer is 88209.

Fredric Kardon by Fredric Kardon , 71, USA

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1 solution

Fredric Kardon
Nov 26, 2017 
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# Python 3 program

import math

def listDigits(n):
    digits = []
    test = n
    while test > 0:
        testNew = int(test/10)
        digits.append(test - testNew * 10)
        test = testNew
    return digits

def reverseDigits(n):
    digitsIn = listDigits(n)
    power = 1
    R = 0
    while len(digitsIn) > 0:
        L = len(digitsIn)
        R += digitsIn[L - 1] * power
        power *= 10
        digitsIn = digitsIn[:L-1]
    return R

found = False
A = 1
while not found:
    B = reverseDigits(A)
    Csquared = A* A + B * B  
    C = int(math.sqrt(Csquared))
    if Csquared == C * C:
        print(A, B, C)
        found = True
    A += 1

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice problem! Turns out this is in the OEIS here . No mention of if there are infinitely many such numbers.

Chris Lewis - 1 year, 7 months ago

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