What is the 9246th prime number?
The 9246th prime number is 95929. The next prime is 95947 (a gap of 18) and the one before is 95923.
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 9246th one is 95929.
- 2
95929 is prime because no prime up to ā95929 ā 309.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9246th prime is close to 9246 Ć ln(9246) ā 84434, and here it is 95929.
- 4
95929 has no twin: neither 95927 nor 95931 is prime.
Primes around the 9246th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9243 | 95911 | 20 |
| 9244 | 95917 | 6 |
| 9245 | 95923 | 6 |
| 9246 | 95929 | 6 |
| 9247 | 95947 | 18 |
| 9248 | 95957 | 10 |
| 9249 | 95959 | 2 |
Questions
What is the 9246th prime number?
95929.
Which prime number is 95929?
95929 is the 9246th prime number.
What is the sum of the first 9246 primes?
420,488,361.