Puzzle 649
What comes next in this sequence:
boron · carbon · nitrogen · oxygen · ?
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Hint
The first in the list would be Hydrogen.
Answer
Fluorine.
These are the elements in atomic number order.
Puzzle 651
Which is larger:
fathoms in a kilometre
hours in a month
Puzzle Copyright © Kevin Stone
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Answer
Hours in a month.
Reasoning
A fathom is 6 feet, which is 1.8288 metres.
So there are 1000 ÷ 1.8288 ≈ 546.8 fathoms in a kilometre.
The shortest month has 28 x 24 hours = 672.
So even the shortest month has more hours than there are fathoms in a kilometre.
Puzzle 652
Can you find three consecutive prime numbers …
… which total 190,747 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try finding the cube root of 190,747.
Answer
53, 59, and 61.
Reasoning
Start by taking the cube root of 190,747, which is approximately 57.56.
The next highest prime number is 59:
190,747 ÷ 59 = 3,233
Let's try the next prime number, which is 61:
3,233 ÷ 61 = 53
53, 59, and 61, are all prime, and are consecutive, so this is the answer.
Double-Checking
53 x 59 x 61 = 190,747