WordGPT

What is the 7063rd prime number?

The 7063rd prime number is 71339. The next prime is 71341 (a gap of 2) and the one before is 71333.

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 7063rd one is 71339.

  2. 2

    71339 is prime because no prime up to √71339 ā‰ˆ 267.09 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 7063rd prime is close to 7063 Ɨ ln(7063) ā‰ˆ 62597, and here it is 71339.

  4. 4

    71339 is a twin prime: 71339 and 71341 are both prime.

Primes around the 7063rd

PositionPrimeGap from the previous
70607132710
7061713292
7062713334
7063713396
7064713412
7065713476
7066713536

Questions

What is the 7063rd prime number?

71339.

Which prime number is 71339?

71339 is the 7063rd prime number.

What is the sum of the first 7063 primes?

237,935,116.

About 71339

Neighbouring primes

    The 7063rd prime number is 71339 | WordGPT