What is the 9336th prime number?
The 9336th prime number is 96997. The next prime is 97001 (a gap of 4) and the one before is 96989.
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 9336th one is 96997.
- 2
96997 is prime because no prime up to ā96997 ā 311.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9336th prime is close to 9336 Ć ln(9336) ā 85346, and here it is 96997.
- 4
96997 has no twin: neither 96995 nor 96999 is prime.
Primes around the 9336th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9333 | 96973 | 14 |
| 9334 | 96979 | 6 |
| 9335 | 96989 | 10 |
| 9336 | 96997 | 8 |
| 9337 | 97001 | 4 |
| 9338 | 97003 | 2 |
| 9339 | 97007 | 4 |
Questions
What is the 9336th prime number?
96997.
Which prime number is 96997?
96997 is the 9336th prime number.
What is the sum of the first 9336 primes?
429,171,261.