What is the 9250th prime number?
The 9250th prime number is 95971. The next prime is 95987 (a gap of 16) and the one before is 95959.
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 9250th one is 95971.
- 2
95971 is prime because no prime up to ā95971 ā 309.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9250th prime is close to 9250 Ć ln(9250) ā 84475, and here it is 95971.
- 4
95971 has no twin: neither 95969 nor 95973 is prime.
Primes around the 9250th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9247 | 95947 | 18 |
| 9248 | 95957 | 10 |
| 9249 | 95959 | 2 |
| 9250 | 95971 | 12 |
| 9251 | 95987 | 16 |
| 9252 | 95989 | 2 |
| 9253 | 96001 | 12 |
Questions
What is the 9250th prime number?
95971.
Which prime number is 95971?
95971 is the 9250th prime number.
What is the sum of the first 9250 primes?
420,872,195.