WordGPT

What is the 7062nd prime number?

The 7062nd prime number is 71333. The next prime is 71339 (a gap of 6) and the one before is 71329.

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 7062nd one is 71333.

  2. 2

    71333 is prime because no prime up to √71333 ā‰ˆ 267.08 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 7062nd prime is close to 7062 Ɨ ln(7062) ā‰ˆ 62587, and here it is 71333.

  4. 4

    71333 has no twin: neither 71331 nor 71335 is prime.

Primes around the 7062nd

PositionPrimeGap from the previous
70597131724
70607132710
7061713292
7062713334
7063713396
7064713412
7065713476

Questions

What is the 7062nd prime number?

71333.

Which prime number is 71333?

71333 is the 7062nd prime number.

What is the sum of the first 7062 primes?

237,863,777.

About 71333

Neighbouring primes

    The 7062nd prime number is 71333 | WordGPT