What is the 9334th prime number?
The 9334th prime number is 96979. The next prime is 96989 (a gap of 10) and the one before is 96973.
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 9334th one is 96979.
- 2
96979 is prime because no prime up to ā96979 ā 311.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9334th prime is close to 9334 Ć ln(9334) ā 85326, and here it is 96979.
- 4
96979 has no twin: neither 96977 nor 96981 is prime.
Primes around the 9334th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9331 | 96953 | 22 |
| 9332 | 96959 | 6 |
| 9333 | 96973 | 14 |
| 9334 | 96979 | 6 |
| 9335 | 96989 | 10 |
| 9336 | 96997 | 8 |
| 9337 | 97001 | 4 |
Questions
What is the 9334th prime number?
96979.
Which prime number is 96979?
96979 is the 9334th prime number.
What is the sum of the first 9334 primes?
428,977,275.