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Posts Tagged ‘Triangular numbers’

Listener 4660 Prime Cuts by Zag

Posted by gillwinchcombe on 12 Jun 2021

Oh my goodness this one took some solving! First, congratulations Zag on your great choice of title – another contender for best title of the year.

Prime Cuts set a record for me – 17 pages of meticulous working and an elapsed time of a week. I came to the Listener via the numericals and I enjoy solving them, but had I not been so keen, I may have been tempted to give up.

In fairness one page (but only one) of the 17 was reworking caused by a certain mathematician telling me that there were 3 pairs of reversible primes, rather than the actual 4. That sorted, it was a steady and rather strenuous uphill climb to reach the gridfill. I confess I was hoping for some sort of a revelation in the 21 letters but with all the vowels absent that was unlikely (I hope I haven’t missed it).

Without the test for triangular numbers (8n+1 gives a square number), kindly supplied by said mathematician in penance for his earlier misinformation, Prime Cuts would have taken me even longer. Still, I’m proud of finishing it and I’m glad I didn’t need to resort to the offer of Mathematika.

Thanks Zag for providing a week on and off of sustained mental workout,

Gill

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