Are you lucky today?

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Find the next number in this sequence:

3, 7, 13, 31, 37, _


The answer is 43.

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1 solution

Kartik Sharma
Jul 7, 2014

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 !!!

There are infinitely many answer to your questions. I am surprised that 19 (list of even primes), 22 (quadratic continuity) or even 123456789 (formula for a cubic) are not correct answers.

Guilherme Dela Corte - 6 years, 11 months ago

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Please tell me if my editing can make it clear and if not, pls let me know how i can..

Kartik Sharma - 6 years, 11 months ago

There is not enough information to guess at such a "random" pattern.

Even if we were to follow your sequence, when you remove every 3rd, you falsely removed number 19 (and included 25). Under your pattern, the answer is 19.

Calvin Lin Staff - 6 years, 11 months ago

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No Sir, I first removed every 3rd integer and then, every 7th integer. So, that 7th integer is 19. I suppose this was what you were asking.

By the way, I have edited my problem a little and I hope this may be fine.

Kartik Sharma - 6 years, 11 months ago

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Ah, I see. However, there is still not enough information to be able to guess at this (somewhat) random sequence.

I will update the answer to 43.

Calvin Lin Staff - 6 years, 11 months ago

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@Calvin Lin Can you please re share it as well...

Kartik Sharma - 6 years, 11 months ago

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