Euler: Integer right triangles

If p is the perimeter of a right angle triangle with integral length sides, {a,b,c}, there are exactly three solutions for p = 120. {20,48,52}, {24,45,51}, {30,40,50}
pは3辺の長さが整数の直角三角形の周長であり、p=120の場合、3種類の直角三角形が存在する.それぞれ:{20,48,52},{24,45,51},{30,40,50}
For which value of p ≤ 1000, is the number of solutions maximised?
pの範囲は1000以内に限定されていますが、pがどれだけの場合、最も多くの場合の直角三角形を持っていますか?
構想:p整数から3つの数x,y,zを取り出し、x>y>zかつx+y+z=pとする.そしてy+z>xを満たす.

def isRight(x,y,z):
    if not(x>=y and y >= z):
        print "should be x>y>z!", str(x),str(y),str(z)
        return False
    if x*x == y*y + z*z:
        return True
    return False


def getnum(p):
    if p<3 or p>1000:
        print 'Wrong p'
        return
    count = 0       
    for x in range(p/3, p/2):
        for y in range((p-x)/2, (p-x)):
            if x<y:
                break
            z = p-x-y
            if y<z:
                continue
            #print "x,y,z=",str(x),str(y),str(z)
            if isRight(x,y,z):
                print "x,y,z=",str(x),str(y),str(z)
                count += 1

    print "count for p is ", str(count)
    return p,count

def main():
    #getnum(120)
    maxcount = 1
    maxp = 1
    for i in range(3, 1001):
        tmp_p,tmp_count = getnum(i)
        if tmp_count > maxcount:
            maxcount = tmp_count
            maxp = tmp_p

    print maxp, maxcount

if __name__ == "__main__":
    main()