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Pi and primes (Posted on 2025-03-14) Difficulty: 1 of 5
Why might the sequence of superprimes (prime numbers at a prime position in the sequence of primes) remind you of pi?

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Happy pi day!

The sequence https://oeis.org/A006450 Prime-indexed primes starts.

3, 5, 11, 17, 31, 41, 59, 67, 83, 109, 127, 157, 179, 191

There's a nice coincidence which I underlined are the 11th, 13th, and 17th prime numbers and you can note the first six digits of pi=3.14159...

Not at all related but since it includes the symbol π:  There is a prime counting function π(n) which counts the number of primes less than or equal to n.  Nothing I could find in the function looks like the decimal value 3.14159...

  Posted by Jer on 2025-03-14 13:02:46
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