What is the 9263rd prime number?
The 9263rd prime number is 96157. The next prime is 96167 (a gap of 10) and the one before is 96149.
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 9263rd one is 96157.
- 2
96157 is prime because no prime up to ā96157 ā 310.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9263rd prime is close to 9263 Ć ln(9263) ā 84606, and here it is 96157.
- 4
96157 has no twin: neither 96155 nor 96159 is prime.
Primes around the 9263rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9260 | 96097 | 18 |
| 9261 | 96137 | 40 |
| 9262 | 96149 | 12 |
| 9263 | 96157 | 8 |
| 9264 | 96167 | 10 |
| 9265 | 96179 | 12 |
| 9266 | 96181 | 2 |
Questions
What is the 9263rd prime number?
96157.
Which prime number is 96157?
96157 is the 9263rd prime number.
What is the sum of the first 9263 primes?
422,120,976.