What is the 9252nd prime number?
The 9252nd prime number is 95989. The next prime is 96001 (a gap of 12) and the one before is 95987.
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 9252nd one is 95989.
- 2
95989 is prime because no prime up to ā95989 ā 309.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9252nd prime is close to 9252 Ć ln(9252) ā 84495, and here it is 95989.
- 4
95989 is a twin prime: 95987 and 95989 are both prime.
Primes around the 9252nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9249 | 95959 | 2 |
| 9250 | 95971 | 12 |
| 9251 | 95987 | 16 |
| 9252 | 95989 | 2 |
| 9253 | 96001 | 12 |
| 9254 | 96013 | 12 |
| 9255 | 96017 | 4 |
Questions
What is the 9252nd prime number?
95989.
Which prime number is 95989?
95989 is the 9252nd prime number.
What is the sum of the first 9252 primes?
421,064,171.