What is the 9257th prime number?
The 9257th prime number is 96053. The next prime is 96059 (a gap of 6) and the one before is 96043.
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 9257th one is 96053.
- 2
96053 is prime because no prime up to ā96053 ā 309.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9257th prime is close to 9257 Ć ln(9257) ā 84545, and here it is 96053.
- 4
96053 has no twin: neither 96051 nor 96055 is prime.
Primes around the 9257th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9254 | 96013 | 12 |
| 9255 | 96017 | 4 |
| 9256 | 96043 | 26 |
| 9257 | 96053 | 10 |
| 9258 | 96059 | 6 |
| 9259 | 96079 | 20 |
| 9260 | 96097 | 18 |
Questions
What is the 9257th prime number?
96053.
Which prime number is 96053?
96053 is the 9257th prime number.
What is the sum of the first 9257 primes?
421,544,298.