What is the 9245th prime number?
The 9245th prime number is 95923. The next prime is 95929 (a gap of 6) and the one before is 95917.
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 9245th one is 95923.
- 2
95923 is prime because no prime up to ā95923 ā 309.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9245th prime is close to 9245 Ć ln(9245) ā 84424, and here it is 95923.
- 4
95923 has no twin: neither 95921 nor 95925 is prime.
Primes around the 9245th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9242 | 95891 | 10 |
| 9243 | 95911 | 20 |
| 9244 | 95917 | 6 |
| 9245 | 95923 | 6 |
| 9246 | 95929 | 6 |
| 9247 | 95947 | 18 |
| 9248 | 95957 | 10 |
Questions
What is the 9245th prime number?
95923.
Which prime number is 95923?
95923 is the 9245th prime number.
What is the sum of the first 9245 primes?
420,392,432.