What is the 9248th prime number?
The 9248th prime number is 95957. The next prime is 95959 (a gap of 2) and the one before is 95947.
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 9248th one is 95957.
- 2
95957 is prime because no prime up to ā95957 ā 309.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9248th prime is close to 9248 Ć ln(9248) ā 84454, and here it is 95957.
- 4
95957 is a twin prime: 95957 and 95959 are both prime.
Primes around the 9248th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9245 | 95923 | 6 |
| 9246 | 95929 | 6 |
| 9247 | 95947 | 18 |
| 9248 | 95957 | 10 |
| 9249 | 95959 | 2 |
| 9250 | 95971 | 12 |
| 9251 | 95987 | 16 |
Questions
What is the 9248th prime number?
95957.
Which prime number is 95957?
95957 is the 9248th prime number.
What is the sum of the first 9248 primes?
420,680,265.