3
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What number is missing in the sequence below?

27 3 119 34 124 93 145 116 235 ___ 295 354

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8
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The answer is 235

Factoring prime numbers and finding the derived pattern from one of the factors was the key

I found largest prime factor multiplied by an integer starting with 1 and increasing by one for each of the subsequent numbers largest prime factors. The largest prime factor of 27 is 3 which starts the pattern: 3x1 = 3, 17x2 = 34, 31x3 = 93, 29x4 = 116, 47x5 = 235, 59x6 = 354

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  • $\begingroup$ explain where you get 47 from. $\endgroup$
    – Jasen
    Commented Jun 6, 2016 at 5:16
  • $\begingroup$ @Jasen 235 has the prime factors 5 and 47, of which 47 is the largest. $\endgroup$
    – Block
    Commented Jun 6, 2016 at 6:48
  • $\begingroup$ ah, from the 235 before the blank. that makes sense. $\endgroup$
    – Jasen
    Commented Jun 6, 2016 at 6:51

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