Sum of Distinct squares
What is the largest natural number, which cannot be expressed as a sum of squares of distinct natural numbers?
The answer is 128.
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1 solution
How can you say??
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Can you post a proof for this please?
With your mouth
Just compute the Taylor series of ∏ n = 1 + ∞ ( 1 + x n 2 ) and look for missing monomials.
Can anyone possibly tell how 128 is the answer...(proof)
Plz If you can find one for the number 999 Plz tell me.Thank you in advance
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999=961+25+9+4. Actually, every number greater than 150 can be expressed.(But please don't ask me to do it!!)
Why can't you just do
3 = 1 2 + 1 2 + 1 2
and do that for all of them?
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Sum of squares of distinct natural numbers...
But how? Satvik can you post the solution to this problem?
How do u know... that that except these no. All can be expressed as sum of distinct natural no.......?.
Can somebody help me find solutions to this question?
Anagram Cracker!!
Anagrams are problems related to shuffled letters which are needed to be arranged and made into perfect meaningful sentences without repeating the letters (letters can be used only once).
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1) tuteauaewribeifslh
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3) enaednenetorfyimrw
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Details and assumptions:
Example:
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There are only 31 numbers that cannot be expressed as the sum of distinct squares: 2, 3, 6, 7, 8, 11, 12, 15, 18, 19, 22, 23, 24, 27, 28, 31, 32, 33, 43, 44, 47, 48, 60, 67, 72, 76, 92, 96, 108, 112, 128