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No.
551218171009141211314 is not a Prime number.
It is divisible by 2 (and 275609085504570605657, of course, but which is also not a prime number!)
But ...
- 551218171009141211267 is the prime number nearest belowthe number in the question, and
- 551218171009141211417 is the next higher prime number.
So the nearest prime number to 551218171009141211314 is 551218171009141211267, being only 47 less than the given number, whereas 551218171009141211417 is 103 more than the given number.
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