SOLUTION: 1,3,10,52,367, 4042 Find the next two numbers in the sequence

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Question 1147331: 1,3,10,52,367, 4042
Find the next two numbers in the sequence

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
After starting with 1, the pattern involves multiplying by the 
next prime number and adding the next fibonacci number.

The primes are 2,3,5,7,11,13,17,19,23,...
The Fibonaccis are 1,1,2,3,5,8,13,21,34...

Start with 1, 
multiply 1 by 1st prime, 2, get 2, add 1st fibonacci 1, get 3.
multiply 3 by 2nd prime, 3, get 9, add 2nd fibonacci 1, get 10.
multiply 10 by 3rd prime, 5, get 50, add 3rd fibonacci 2, get 52.
multiply 52 by 4th prime, 7, get 364, add 4th fibonacci 3, get 367.
multiply 367 by 5th prime, 11, get 4037, add 5th fibonacci 5, get 4042.
multiply 4042 by 6th prime, 13, get 52546, add 6th fibonacci 8, get 52554.

Edwin

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