Find the next term of the following 2 Series:-

  • $A. (3,5,11,17,31,41,59,__)$

  • $B. (1,1,1,2,5,21,233,__)$


The two series are related to each other.If you find the answer to one of the number sequence, the other will soon follow.


First Series could be A006450 or A175247 (Primes with noncomposite subscripts.)

In spite of the type of the series, the answer becomes


And the second one A007570 = $F(F(n))$ where F is a Fibonacci number.

so the answer becomes


And there is no relation that I have found between these.

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  • $\begingroup$ @Roby5 anyone can find the relation and explain it like they found without using any web site. The series that you need to ask should not be found by using any website. $\endgroup$ – Oray Mar 20 '16 at 10:05
  • $\begingroup$ Which website did you use? $\endgroup$ – Saikat Mar 20 '16 at 11:18
  • 1
    $\begingroup$ The relation is that each sequence comes from a simple sequence applied twice. One is $p_{p_n}$ (the prime-numbered primes) and the other is $F_{F_n}$ (the Fibonacci-numbered Fibonacci numbers). $\endgroup$ – f'' Mar 24 '16 at 6:13

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