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The number of odd prime numbers less than $$100$$ which can be written as the sum of two squares is
Correct Answer: 11
An odd prime can be written as a sum of two squares exactly when it is congruent to $$1\pmod4$$. The primes less than $$100$$ of this form are $$5,13,17,29,37,41,53,61,73,89,97$$. Hence the number of such primes is $$11$$.
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