Suppose a number n is normal.

Let p be the first d digits of n .

Question: Does there necessarily exist a d and p such that n starts with the sentence p p ?

I saw Repetition in digits on a normal number but I’m not sure if it applies or not.

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you have us picking n rather then picking d and p first, in this way no. for example there is no d and p such that 13 starts with pp in base 10.

– shai horowitz

2 days ago

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