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Red, Blue, and Yellow in Teens (Posted on 2004-06-22) Difficulty: 5 of 5
Find the next number: 124, 370, 205, 301, 517, 424, 826, 427, 871, ____

Averages of certain digits go a long way in this problem.

  Submitted by Victor Zapana    
Rating: 4.4444 (9 votes)
Solution: (Hide)
The title and hint are the biggest hints in this problem. First, I'll explain the hints. Red, Blue, and Yellow and primary colors. Primary is a synonym for prime. I was trying to lead you to thinking about prime numbers. "in Teens" meant I wanted you to think about the teens (10-19) of prime numbers, meaning the 10th to the 19th prime number.

The pattern is the prime number multiplied by the sum of the digits of that number. So, the 10th prime number is 31, and the first sequence number is 31x(3+1)=124, and so on. The 19th prime number is 71, so we find 71x(7+1)=568.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
answerK Sengupta2008-03-09 14:11:25
re(2): solutionDJ2004-06-22 21:15:31
re: solutionTristan2004-06-22 19:40:41
SolutionsolutionGus2004-06-22 18:38:30
First thoughts...Erik O.2004-06-22 16:56:31
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