What is the 9259th prime number?
The 9259th prime number is 96079. The next prime is 96097 (a gap of 18) and the one before is 96059.
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 9259th one is 96079.
- 2
96079 is prime because no prime up to ā96079 ā 309.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9259th prime is close to 9259 Ć ln(9259) ā 84566, and here it is 96079.
- 4
96079 has no twin: neither 96077 nor 96081 is prime.
Primes around the 9259th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9256 | 96043 | 26 |
| 9257 | 96053 | 10 |
| 9258 | 96059 | 6 |
| 9259 | 96079 | 20 |
| 9260 | 96097 | 18 |
| 9261 | 96137 | 40 |
| 9262 | 96149 | 12 |
Questions
What is the 9259th prime number?
96079.
Which prime number is 96079?
96079 is the 9259th prime number.
What is the sum of the first 9259 primes?
421,736,436.