I guess the proof that there is no larger number with this property is just an exhaustive search with all 8-digit primes and all possible digits to append to it? I wonder what the same constraint applied to other bases looks like, hm.
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I decided to go ahead and hack up an exhaustive search myself, for different bases. This should be the same thing for bases 3-16 inclusive (biggest number for which all prefixes are primes, when represented in base N)pic.twitter.com/kCH4thhxu3
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okay tbh I get it some things are interesting in base 10
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Each time I see something like this that is specific to base-10, I wonder how it generalises across bases. The n/7 fractions thing would be another one (0.142857..., 0.285714..., etc)
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@smolf já viu isso? -
Caraio!! Teoria dos números nunca cessa em me surpreender
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73939133 is the longest right-truncatable prime; but the pencil has the longest (and more impressive) left-truncatable prime.
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Between this and the immortal lobsters Tweet (it’s all about telomeres), today is the best.
Thanks. Twitter will use this to make your timeline better. UndoUndo
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Thanks. Twitter will use this to make your timeline better. UndoUndo
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