Brain Teasers
23, 31, 41, ...
Can you find the next three terms in the series shown below?
23, 31, 41, 59, 71, 83, 97, 109, ?, ?, ?, ...
23, 31, 41, 59, 71, 83, 97, 109, ?, ?, ?, ...
Hint
This hint is a prime example that gives the sum of three useful pieces of information.Answer
131, 173, 199Why? The series is only those prime numbers that can be expressed as the sum of three consecutive prime numbers.
23 = 5 + 7 + 11
31 = 7 + 11 + 13
41 = 11 + 13 + 17
59 = 17 + 19 + 23
71 = 19 + 23 + 29
83 = 23 + 29 + 31
97 = 29 + 31 + 37
109 = 31 + 37 + 41
131 = 41 + 43 + 47
173 = 53 + 59 + 61
199 = 61 + 67 + 71
And so on...
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Comments
oooooooohhhhhhh......... i get it lol...... i knew it had something to do with prime numbers but i couldnt figure out what it was
C'mon, give us a chance!
this teaser is very interesting.but really takes time.it was after seeing the answer that i know prime no.s from 23 onwards has such unique presentation.i think that's amazing!
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