What is the 9251st prime number?
The 9251st prime number is 95987. The next prime is 95989 (a gap of 2) and the one before is 95971.
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 9251st one is 95987.
- 2
95987 is prime because no prime up to ā95987 ā 309.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9251st prime is close to 9251 Ć ln(9251) ā 84485, and here it is 95987.
- 4
95987 is a twin prime: 95987 and 95989 are both prime.
Primes around the 9251st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9248 | 95957 | 10 |
| 9249 | 95959 | 2 |
| 9250 | 95971 | 12 |
| 9251 | 95987 | 16 |
| 9252 | 95989 | 2 |
| 9253 | 96001 | 12 |
| 9254 | 96013 | 12 |
Questions
What is the 9251st prime number?
95987.
Which prime number is 95987?
95987 is the 9251st prime number.
What is the sum of the first 9251 primes?
420,968,182.