What is the 9244th prime number?
The 9244th prime number is 95917. The next prime is 95923 (a gap of 6) and the one before is 95911.
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 9244th one is 95917.
- 2
95917 is prime because no prime up to ā95917 ā 309.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9244th prime is close to 9244 Ć ln(9244) ā 84414, and here it is 95917.
- 4
95917 has no twin: neither 95915 nor 95919 is prime.
Primes around the 9244th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9241 | 95881 | 8 |
| 9242 | 95891 | 10 |
| 9243 | 95911 | 20 |
| 9244 | 95917 | 6 |
| 9245 | 95923 | 6 |
| 9246 | 95929 | 6 |
| 9247 | 95947 | 18 |
Questions
What is the 9244th prime number?
95917.
Which prime number is 95917?
95917 is the 9244th prime number.
What is the sum of the first 9244 primes?
420,296,509.