WordGPT

What is the 9482nd prime number?

The 9482nd prime number is 98779. The next prime is 98801 (a gap of 22) and the one before is 98773.

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 9482nd one is 98779.

  2. 2

    98779 is prime because no prime up to √98779 ā‰ˆ 314.29 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 9482nd prime is close to 9482 Ɨ ln(9482) ā‰ˆ 86828, and here it is 98779.

  4. 4

    98779 has no twin: neither 98777 nor 98781 is prime.

Primes around the 9482nd

PositionPrimeGap from the previous
9479987312
9480987376
94819877336
9482987796
94839880122
9484988076
9485988092

Questions

What is the 9482nd prime number?

98779.

Which prime number is 98779?

98779 is the 9482nd prime number.

What is the sum of the first 9482 primes?

443,465,175.

About 98779

Neighbouring primes

    The 9482nd prime number is 98779 | WordGPT