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Can anyone supply the web address of a site listing the first 3162 perfect squares? The only lists I can find stop at 1000 squared, and there's quite a few after that.

You can fairly easily create your own with an up to date version of Excel, can you not?

I've got 16ac and 17 dn, by logic, but the thought of trawling through a list of several thousand numbers doesn't seem very appealing. There must be a better way for eg 7dn, 9ac, g.

Yes kt17, but that presupposes that I, and all the other intending solvers, have such software. A nice web page where the work has all been done is more useful. There are easily-accessible tables of primes well into 8 figures, but squares? Where?

Cockie if you can explain to me (simply, cos I’m simple) the calculations you require, I’ll happily try to tabulate and, if possible, post to this thread

M

Given the constraint of the 25 partitioned primes possessing 49 digits and summing to twice 16ac, there are not that many possible answers for 1a. 7d shares a digit with its square root and as it forms the final column of the grid can itself only contain the digits 1,2,3,5,7 or 9 thereby considerably reducing the possible answers. It's then a matter of checking that 4d isn't prime and everything soon falls into place.

Finding this a tedious chore. I narrowed the choices for 1a to six numbers and the choices for 7d to nine numbers, but none of the combinations gives me a non-prime for 4d. Obviously I have missed something and have to go through long lists of large numbers again. It's playing havoc with my eyes.

Either 9a or 7d is a completely redundant clue. What is the point? I find that sort of thing intensely irritating.

7d is odd, so 19a is also. Any 'higher prime' is odd as are it's 'higher powers'. So the first addend in 19a must be even.

Cockie, I'm no good at posting links but try this: http://oeis.org/Aooo290/booo290.txt

Thanks, caphrist. I doesn't open, but I think I've found a way round. The little grey cells are working overtime!