Question 153696
Can you find three consecutive odd numbers that are prime numbers? 
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Yes, 3, 5, 7 are three consecutive odd primes. 
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And is it possible to find another set of three consecutive odd numbers that are prime. 
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No.
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Explain.  
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Let's write down some consectutive odd numbers

1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,...

I'll color the multiples of 3 red:

1,<font color = "red">3</font>,5,7,<font color = "red">9</font>,11,13,<font color = "red">15</font>,17,19,<font color = "red">21</font>,23,25,<font color = "red">27</font>,29,...

Notice there are only two odd numbers between one odd multiple of 3 
and the next odd multiple of 3, so if you had three consecutive odd 
numbers which were prime, one of them would have to be a multiple 
of 3, and the only odd multiple of 3 that is prime, is 3x1 or 3 
itself!

Edwin</pre>