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.
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