tangent_sequences.py

from sympy import prime
from math import tan, pi
from random import random

def chug_primes():
    max = 0
    for i in range(1,1000000000000):
        p = prime(i)
        v = tan(p)/p
        if v > max:
            max = v
            print(f"{i}:   {p}  <->  {v}")


def chug_integers():
    max = 0
    for i in range(1,1000000000000):
        v = tan(i)/i
        if v > max:
            max = v
            print(f"{i}:   {i}  <->  {v}")


def chug_randoms():
    max = 0
    for i in range(1,1000000000000):
        r = random()*pi/2
        v = tan(r)/i
        if v > max:
            max = v
            print(f"{i}:   {r}  <->  {v}")

# Pick one:

chug_primes()
# chug_integers()
# chug_randoms()