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kirky

22nd November 2015, 19:02
Can someone give me a starting point please?
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schorley

22nd November 2015, 19:50
Cherchez la femme :-)

Having to limit the product of three numbers to only three digits means that the initial 21 possibilities for one of the numbers soon reduces to six, and then you are nicely on your way...hope that helps.

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crosswhit99

22nd November 2015, 23:01
Simpler even than that:

Step 1

Consider Clue I and the value of B:

Because every grid entry is the reverse of a prime number, every lettered cell must contain one of the digits 1, 3, 7 or 9. There is only one two-digit non-prime number using only these four digits whose reverse is prime – this gives the value of B, with only two possible values for N, both starting with the same digit.
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kirky

22nd November 2015, 23:12
Thank you both - I will have ago tomorrow!
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gem94

23rd November 2015, 11:03
Crosswhit - are you saying that the the entry at B MUST be non-prime, and if so, why?
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olivercardo

23rd November 2015, 11:28
gem94 - B can't be prime, because if it was (B+B) would - by definition - only have B and 2 has factors. But we're told that (B+B) divides by N, a two-digit number - and all entries are distinct - so B cannot be a prime.

I think I've explained that terribly...
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gem94

23rd November 2015, 11:52
No, you have explained that perfectly well.
Thanks.
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beulah

23rd November 2015, 21:57
Am I right in thinking that B is 91 and N is 13? Thanks for previous helpful suggestions.
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kirky

23rd November 2015, 23:12
I thought N had to be 14 cos otherwise "O" doesn't work - since O=NUN,
which can't be 169U... I could be wrong though...
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schorley

24th November 2015, 01:02
beulah / kirky....N must be less than 32, otherwise NUN would be more than the three digits long. N is a reverse prime, so the only possibilities are 11, 13, 14, 16, 17 or 31. It cannot be 11 as you are not permitted to have two adjacent cells containing the same digit.

There are then 18 possible values for NUN, of which only three are reverse primes. Happily, all three have the same value for N ! Then look at clues F, H and I for the next steps.


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