What is the 9262nd prime number?
The 9262nd prime number is 96149. The next prime is 96157 (a gap of 8) and the one before is 96137.
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 9262nd one is 96149.
- 2
96149 is prime because no prime up to ā96149 ā 310.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9262nd prime is close to 9262 Ć ln(9262) ā 84596, and here it is 96149.
- 4
96149 has no twin: neither 96147 nor 96151 is prime.
Primes around the 9262nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9259 | 96079 | 20 |
| 9260 | 96097 | 18 |
| 9261 | 96137 | 40 |
| 9262 | 96149 | 12 |
| 9263 | 96157 | 8 |
| 9264 | 96167 | 10 |
| 9265 | 96179 | 12 |
Questions
What is the 9262nd prime number?
96149.
Which prime number is 96149?
96149 is the 9262nd prime number.
What is the sum of the first 9262 primes?
422,024,819.