What is the 9260th prime number?
The 9260th prime number is 96097. The next prime is 96137 (a gap of 40) and the one before is 96079.
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 9260th one is 96097.
- 2
96097 is prime because no prime up to ā96097 ā 310.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9260th prime is close to 9260 Ć ln(9260) ā 84576, and here it is 96097.
- 4
96097 has no twin: neither 96095 nor 96099 is prime.
Primes around the 9260th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9257 | 96053 | 10 |
| 9258 | 96059 | 6 |
| 9259 | 96079 | 20 |
| 9260 | 96097 | 18 |
| 9261 | 96137 | 40 |
| 9262 | 96149 | 12 |
| 9263 | 96157 | 8 |
Questions
What is the 9260th prime number?
96097.
Which prime number is 96097?
96097 is the 9260th prime number.
What is the sum of the first 9260 primes?
421,832,533.