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What is the 6520th prime number?

The 6520th prime number is 65267. The next prime is 65269 (a gap of 2) and the one before is 65257.

Position

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    List the primes in order: 2, 3, 5, 7, 11, 13, … The 6520th one is 65267.

  2. 2

    65267 is prime because no prime up to √65267 ā‰ˆ 255.47 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6520th prime is close to 6520 Ɨ ln(6520) ā‰ˆ 57263, and here it is 65267.

  4. 4

    65267 is a twin prime: 65267 and 65269 are both prime.

Primes around the 6520th

PositionPrimeGap from the previous
65176521310
65186523926
65196525718
65206526710
6521652692
65226528718
6523652936

Questions

What is the 6520th prime number?

65267.

Which prime number is 65267?

65267 is the 6520th prime number.

What is the sum of the first 6520 primes?

200,849,413.

About 65267

Neighbouring primes

    The 6520th prime number is 65267 | WordGPT