What is the 9261st prime number?
The 9261st prime number is 96137. The next prime is 96149 (a gap of 12) and the one before is 96097.
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 9261st one is 96137.
- 2
96137 is prime because no prime up to ā96137 ā 310.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9261st prime is close to 9261 Ć ln(9261) ā 84586, and here it is 96137.
- 4
96137 has no twin: neither 96135 nor 96139 is prime.
Primes around the 9261st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9258 | 96059 | 6 |
| 9259 | 96079 | 20 |
| 9260 | 96097 | 18 |
| 9261 | 96137 | 40 |
| 9262 | 96149 | 12 |
| 9263 | 96157 | 8 |
| 9264 | 96167 | 10 |
Questions
What is the 9261st prime number?
96137.
Which prime number is 96137?
96137 is the 9261st prime number.
What is the sum of the first 9261 primes?
421,928,670.