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1 sat \ 5 replies \ @Undisciplined 2 Nov \ parent \ on: [Daily puzzle] Locker problem science
I'd love some intuition for this result.
I get that the primes will all be closed, because only the corresponding prime'th student will toggle that locker, but I don't see a clever argument for just the squares being left.
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386 sats \ 2 replies \ @Scroogey 2 Nov
I think the answer is in Why do perfect squares have a odd amount of factors
The squares are exactly those numbers with an odd amount of factors. Because the amount is odd, they are now open.
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1 sat \ 1 reply \ @Undisciplined 2 Nov
That makes a ton of sense
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12 sats \ 0 replies \ @south_korea_ln OP 2 Nov
Indeed! 👍
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10 sats \ 1 reply \ @south_korea_ln OP 2 Nov
There is an intuitive argument. But I'll give it some more time before divulging it.
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1 sat \ 0 replies \ @Undisciplined 2 Nov
Fair enough
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