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What is the 6255th prime number?

The 6255th prime number is 62219. The next prime is 62233 (a gap of 14) and the one before is 62213.

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 6255th one is 62219.

  2. 2

    62219 is prime because no prime up to √62219 ā‰ˆ 249.44 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 6255th prime is close to 6255 Ɨ ln(6255) ā‰ˆ 54676, and here it is 62219.

  4. 4

    62219 has no twin: neither 62217 nor 62221 is prime.

Primes around the 6255th

PositionPrimeGap from the previous
62526220110
6253622076
6254622136
6255622196
62566223314
62576227340
62586229724

Questions

What is the 6255th prime number?

62219.

Which prime number is 62219?

62219 is the 6255th prime number.

What is the sum of the first 6255 primes?

183,952,778.

About 62219

Neighbouring primes

    The 6255th prime number is 62219 | WordGPT