Find the next number in this sequence:
3, 7, 13, 31, 37, _
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This is a sequence with numbers including lucky primes.
A lucky number is a number obtained by the following procedure:
Take the series - 1, 2, 3, 4, 5, 6, 7......
now eliminate every 2nd number
surviving series(Ss) - 1,3, 5,7,9....
now every 3rd
Ss- 1,3,7,9,13,15,19,21....
now every 7th
Ss - 1,3,7,9,13,15,21,25,31,33,37....
Therefore these survivors must be lucky!!
Now take out every prime from the series
3,7,13,31,37,43.......
And hence the answer 43 !!!