Multiple choice

Find the wrong number in the following number series 45, 131, 228, 338, 466, 619, 800

  1. 131

  2. 466

  3. 619

  4. 45

  5. 800
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B Correct answer
Explanation

The series differences are 86, 97, 110, 128, 153, 181. These are 7th, 8th, 9th, 10th, 11th, 12th prime numbers minus some offset. Specifically: 86=7th prime 17+69, 97=8th prime 19+78, 110=9th prime 23+87, 128=10th prime 29+99, 153=11th prime 31+122, 181=12th prime 37+144. The difference from 338 to 466 is 128, which should relate to the 10th prime (29), but 338+128=466. The actual 11th prime is 31, so 338+31=369 was expected. The term 466 is incorrect.

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