What is the 9258th prime number?
The 9258th prime number is 96059. The next prime is 96079 (a gap of 20) and the one before is 96053.
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 9258th one is 96059.
- 2
96059 is prime because no prime up to ā96059 ā 309.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9258th prime is close to 9258 Ć ln(9258) ā 84556, and here it is 96059.
- 4
96059 has no twin: neither 96057 nor 96061 is prime.
Primes around the 9258th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9255 | 96017 | 4 |
| 9256 | 96043 | 26 |
| 9257 | 96053 | 10 |
| 9258 | 96059 | 6 |
| 9259 | 96079 | 20 |
| 9260 | 96097 | 18 |
| 9261 | 96137 | 40 |
Questions
What is the 9258th prime number?
96059.
Which prime number is 96059?
96059 is the 9258th prime number.
What is the sum of the first 9258 primes?
421,640,357.