What is the 9332nd prime number?
The 9332nd prime number is 96959. The next prime is 96973 (a gap of 14) and the one before is 96953.
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 9332nd one is 96959.
- 2
96959 is prime because no prime up to ā96959 ā 311.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9332nd prime is close to 9332 Ć ln(9332) ā 85306, and here it is 96959.
- 4
96959 has no twin: neither 96957 nor 96961 is prime.
Primes around the 9332nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9329 | 96911 | 4 |
| 9330 | 96931 | 20 |
| 9331 | 96953 | 22 |
| 9332 | 96959 | 6 |
| 9333 | 96973 | 14 |
| 9334 | 96979 | 6 |
| 9335 | 96989 | 10 |
Questions
What is the 9332nd prime number?
96959.
Which prime number is 96959?
96959 is the 9332nd prime number.
What is the sum of the first 9332 primes?
428,783,323.