# A number theory problem by Paola Ramírez

Let be $$n$$ a positive integer which satisfies the following conditions:

• $$n$$ is even.
• $$n$$ divided by 5 leaves a remainder of 1.
• $$n$$ is divisible by 7.
• $$n<1000$$.
• The sum of digits of $$n$$ is 23.

Find $$n$$.

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