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If it's any help, the possible
numbers that satisfy the perfect cube condition are 124, 126, 215, 324, 513, 728.

aux 1.

Of those numbers that satisfy the cube condition, the following satisfy the divisibility conditions: 124, 215, 513, 728.

Interestingly, 728 also satisfies the perfect squares condition.

Is this wildly off topic?

aux 1.

Hi aux one (or should that be Hi O silver!!!
Thanks v m for your helpful posts
Its all grist to the mill
I will do it
I will be good
Off to Leeds for the weekend. J has perforated app.
Shall admire the kindly lights AGAIN!!!
Kind Regs
THEA