What is the 9335th prime number?
The 9335th prime number is 96989. The next prime is 96997 (a gap of 8) and the one before is 96979.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9335th one is 96989.
- 2
96989 is prime because no prime up to ā96989 ā 311.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9335th prime is close to 9335 Ć ln(9335) ā 85336, and here it is 96989.
- 4
96989 has no twin: neither 96987 nor 96991 is prime.
Primes around the 9335th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9332 | 96959 | 6 |
| 9333 | 96973 | 14 |
| 9334 | 96979 | 6 |
| 9335 | 96989 | 10 |
| 9336 | 96997 | 8 |
| 9337 | 97001 | 4 |
| 9338 | 97003 | 2 |
Questions
What is the 9335th prime number?
96989.
Which prime number is 96989?
96989 is the 9335th prime number.
What is the sum of the first 9335 primes?
429,074,264.