problem30.ipynb

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    "Problem 30:\n",
    "    Surprisingly there are only three numbers that can be written as the sum of fourth powers\n",
    "    of their digits:\n",
    "\n",
    "    1634 = 14 + 64 + 34 + 44\n",
    "    8208 = 84 + 24 + 04 + 84\n",
    "    9474 = 94 + 44 + 74 + 44\n",
    "    As 1 = 14 is not a sum it is not included.\n",
    "\n",
    "    The sum of these numbers is 1634 + 8208 + 9474 = 19316.\n",
    "\n",
    "    Find the sum of all the numbers that can be written as the sum of fifth powers of their digits."
   ]
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    "k=0\n",
    "for i in range (2,1000000):\n",
    "    #not 1 \n",
    "    a=str(i)\n",
    "    s=0\n",
    "    for j in a:\n",
    "        s+= int(j)**5\n",
    "    if s==i:\n",
    "        k+=s\n",
    "k"
   ]
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     "text": [
      "True\n",
      "True\n",
      "True\n",
      "True\n",
      "True\n",
      "False\n",
      "False\n",
      "False\n",
      "False\n",
      "False\n"
     ]
    }
   ],
   "source": [
    "#how to find the the upper bound: n=number of digits\n",
    "for i in range (1,11):\n",
    "    print (i*(9**5)>= (10**i))"
   ]
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