Problem "pipi numbers"

[GustBatt]

My code enters an infinite loop for n >= 6, and I dont know the reason :/

def pipi(n):
if n == 0:
return 0
else:
ps = [1]
for i in range(n-1):
ps += [n]

def check(numb, ind):
#ind is the nth p, that is, numb
    for i in range(ind):
        if i == 0:
            expression = numb**0.5
        else:
            expression += ps[ind - 1 - i]
            expression = expression**0.5
    if expression == ind:
        return True
    else:
        if expression > ind:
            return 'bigger'
        else:
            return 'lower'
def numb(numb, exp, ind):
    uBoundNumb = ind**2
    for i in range(ind - 1):
        temp = uBoundNumb
        uBoundNumb = temp**2
    lBoundNumb = (ind)**2 - 2
    for i in range(ind - 1):
        temp = lBoundNumb
        lBoundNumb = temp**2 - 2
    i = 0
    while lBoundNumb != uBoundNumb:
        
        middle = round(((uBoundNumb + lBoundNumb) / 2), 1)
        print(middle)
        i += 1
        if (middle**0.5) % 1 == 0 and check(middle, ind) == True:
            nex = (exp - middle)**2
            return middle, nex
        else:
            if check(middle, ind) == 'bigger':
                uBoundNumb = middle
            elif check(middle, ind) == 'lower':
                lBoundNumb = middle
            print(uBoundNumb, lBoundNumb)
exp = 0
for i in range(n):
    if i == 0:
        exp = (n**2 - 1)**2
    elif i == n - 2:
        ps[i], ps[i+1] = numb(ps[i], exp, i + 1)
        return ps[i+1]
    else:
        ps[i], exp = numb(ps[i], exp, i + 1)    
return ps[n-1]

[hobovsky]

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