So, Christmas, two weeks ago. I brought a 1 kilogram box of Marks & Spencer's Belgian Chocolates back from my parents. (The tin's A4 in area, and two layers of biscuits deep
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This wasn't actually a plea for congratulatory messages.
But if you've got any semi-automatic weaponry, I'll gladly accept it as a birthday present. Might need to bubble wrap it though, in case I hurt the poor dears with the corners...
Q Was it a big number? A Well, it's interesting you should ask. As it happens, it's the smallest number which is the sum of 4 primes in 3 different ways, and the cube root of one of the numbers used as part of Wiles' proof of Fermat's Last Theorem...
I bet they won't be able to get away fast enough. (Except for a small subset of people who will be even more intrigued, and will notice that you made up the facts referenced above.)
Damn you! Now I need to work out the smallest number which is the sum of 4 primes in three different ways. Do the primes have to be different? In which case, we're looking at least 17 (2+3+5+7), rather than 8. And that's only one different way.
Er, I think that places you firmly in the small subset :)
I did mean distinct primes, but I also deliberately chose the question to be something pissy and annoying to work out in an attempt to render the subset as small as possible.
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This wasn't actually a plea for congratulatory messages.
But if you've got any semi-automatic weaponry, I'll gladly accept it as a birthday present. Might need to bubble wrap it though, in case I hurt the poor dears with the corners...
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Maybe they couldn't conceive of you not having gorged it all down between Christmas and New Year.
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Q Was it a big number?
A Well, it's interesting you should ask. As it happens, it's the smallest number which is the sum of 4 primes in 3 different ways, and the cube root of one of the numbers used as part of Wiles' proof of Fermat's Last Theorem...
I bet they won't be able to get away fast enough. (Except for a small subset of people who will be even more intrigued, and will notice that you made up the facts referenced above.)
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Bugger. There goes the evening.
(And who knows whether 1 is prime these days?)
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I did mean distinct primes, but I also deliberately chose the question to be something pissy and annoying to work out in an attempt to render the subset as small as possible.
I think 1 is currently not prime.
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