What is the 9249th prime number?
The 9249th prime number is 95959. The next prime is 95971 (a gap of 12) and the one before is 95957.
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 9249th one is 95959.
- 2
95959 is prime because no prime up to ā95959 ā 309.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9249th prime is close to 9249 Ć ln(9249) ā 84464, and here it is 95959.
- 4
95959 is a twin prime: 95957 and 95959 are both prime.
Primes around the 9249th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9246 | 95929 | 6 |
| 9247 | 95947 | 18 |
| 9248 | 95957 | 10 |
| 9249 | 95959 | 2 |
| 9250 | 95971 | 12 |
| 9251 | 95987 | 16 |
| 9252 | 95989 | 2 |
Questions
What is the 9249th prime number?
95959.
Which prime number is 95959?
95959 is the 9249th prime number.
What is the sum of the first 9249 primes?
420,776,224.