The squares: 1, 4, 9, 16, 25
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The positive integer factors of 30 are: 1 2 3 5 6 10 15 30 The odd factors are therefore 1, 3, 5, 15
You cannot have 7 odd numbers that will sum to 30.
There are 30 whole numbers that are odd numbers less than 60 which are also positive. Otherwise, there are infinitely many of them.
An odd number of odd numbers can't add up to an even number.
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