WordGPT

What is the 9483rd prime number?

The 9483rd prime number is 98801. The next prime is 98807 (a gap of 6) and the one before is 98779.

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 9483rd one is 98801.

  2. 2

    98801 is prime because no prime up to √98801 ā‰ˆ 314.33 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 9483rd prime is close to 9483 Ɨ ln(9483) ā‰ˆ 86838, and here it is 98801.

  4. 4

    98801 has no twin: neither 98799 nor 98803 is prime.

Primes around the 9483rd

PositionPrimeGap from the previous
9480987376
94819877336
9482987796
94839880122
9484988076
9485988092
94869883728

Questions

What is the 9483rd prime number?

98801.

Which prime number is 98801?

98801 is the 9483rd prime number.

What is the sum of the first 9483 primes?

443,563,976.

About 98801

Neighbouring primes

    The 9483rd prime number is 98801 | WordGPT