Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
1634 = 14 + 64 + 34 + 44 8208 = 84 + 24 + 04 + 84 9474 = 94 + 44 + 74 + 44
As 1 = 14 is not a sum it is not included.
The sum of these numbers is 1634 + 8208 + 9474 = 19316.
Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.
In [1]:
def find_number(n)
n.to_s.split("").map{|n|n.to_i ** 5}.inject(:+)
end
In [12]:
results = []
(2..999999).each do |n|
results << n if find_number(n) == n
end
results
Out[12]:
In [14]:
results.inject &:+
Out[14]:
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