Fesshole 🧻My phone number is a 7-digit prime that shows up in the digits of pi. My husband's phone number is a 7-digit prime that shows up in the digits of e. We met when training students for the Maths Olympiad. The fess is how nerdy we both are.
silver moats@fesshole probably ill-conceived question from a non-maths student: if pi and e are never-ending numbers, does that suggest that any arbitrary 7-digit sequence has an equal likelihood of showing up at some point? non-repeating or prime sequences more probable than 7777777?
Nathan A. Stine@silvermoats @fesshole math degree here. If a number goes on forever and does not repeat in some cycle, any 7 digit sequence will be in the number. The number goes on forever so if you haven't found it yet, you just need to look further.
Anton Piatek@stinerman @silvermoats @fesshole am on another thread discussing this. Is it proven?
Intuitively I feel it should be true, but I wonder if there's a proof of it
Intuitively I feel it should be true, but I wonder if there's a proof of it
@sldrant @silvermoats @fesshole I don't know of a rigorous proof, but it's almost certainly likely to be true.
@stinerman @sldrant @fesshole depends on how strictly you define a 'non-repeating' sequence maybe? but you can also define infinity as containing every possible permutation, so with that in mind the occurrence of 7 consecutive digits doesn't seem all that improbable