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Turkey Contests
National Olympiad First Round
2002 National Olympiad First Round
26
26
Part of
2002 National Olympiad First Round
Problems
(1)
P26 [Number Theory] - Turkish NMO 1st Round - 2002
Source:
8/10/2014
Which of the following is the set of all perfect squares that can be written as sum of three odd composite numbers?
a)
\ \{(2k + 1)^2 : k \geq 0\}
b)
\ \{(4k + 3)^2 : k \geq 1\}
c)
\ \{(2k + 1)^2 : k \geq 3\}
d)
\ \{(4k + 1)^2 : k \geq 2\}
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None of above
<span class='latex-bold'>e)</span>\ \text{None of above}
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None of above
modular arithmetic