A problem by Hari Om Sharma

Level pending

What is the next number in this series?

4, 6, 12, 18, 30, 42, 60, 72, 102, 108, ?

122 128 132 138

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2 solutions

Hari Om Sharma
Jun 29, 2016

The series lists numbers that are flanked by two prime numbers.

4 (3 and 5 are prime), 6 (5 and 7 are prime), 12 (11 and 13 are prime), 18 (17 and 19 are prime), 30 (29 and 31 are prime), 42 (41 and 43 are prime), 60 (59 and 61 are prime), 72 (71 and 73 are prime), 102 (101 and 103 are prime), 108 (107 and 109 are prime),

thus,

138 (137 and 139 are prime) ,

I made guesstimations. I found out that the difference between each term corresponds to one of the terms after 4. I just checked the difference between 108 and the 4 possible answers. I got the right answer. Probably just coincidence

yes just a coincidence

Hari Om Sharma - 4 years, 11 months ago

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