#!/usr/bin/env python
# coding: utf-8

# # Hello World

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print('Welcome to Jupyter Notebook!')


# Individual code or Markdown blocks are called cells. If there is any, the output from executing a cell is printed below it.
# 
# ### Snippet to check for prime numbers

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nums = [13, 137, 1347]


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for num in nums:
    # prime numbers are greater than 1
    if num > 1:
       for i in range(2,num):
           if (num % i) == 0:
               print(num,"is not a prime number")
               print(i,"times",num//i,"is",num, "\n")
               break
       else:
           print(num,"is a prime number\n")

    else:
       print(num,"is not a prime number")


# ### A note about state
# Variables will maintain their values throughout a notebook session. 

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print("the nums array is: ", nums)


# But, be careful. If we were to reassign the nums array and run the prime number cell it will use the new value "one two three" and throw a TypeError. For this reason, the numbers in brackets next to a code cell exist to indicate the order in which they executed.

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nums = "one two three"

# If I now reran the prime number cell, this is what would happen:


# ### Importing libraries
# 
# It's also possible to import and use your favorite python libraries. 

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from IPython.display import Image


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Image("images/jupiter.jpg", width="50%")


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import pandas as pd, numpy as np


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df = pd.DataFrame(np.random.randn(10,5))
df


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import matplotlib.pyplot as plt
import numpy as np

N = 50
x = np.random.rand(N)
y = np.random.rand(N)
colors = np.random.rand(N)
area = np.pi * (15 * np.random.rand(N))**2
plt.scatter(x, y, s=area, c=colors, alpha=0.5)
plt.show()


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