What is the 1148th prime number?
The 1148th prime number is 9277. The next prime is 9281 (a gap of 4) and the one before is 9257.
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 1148th one is 9277.
- 2
9277 is prime because no prime up to ā9277 ā 96.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1148th prime is close to 1148 Ć ln(1148) ā 8089, and here it is 9277.
- 4
9277 has no twin: neither 9275 nor 9279 is prime.
Primes around the 1148th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1145 | 9239 | 12 |
| 1146 | 9241 | 2 |
| 1147 | 9257 | 16 |
| 1148 | 9277 | 20 |
| 1149 | 9281 | 4 |
| 1150 | 9283 | 2 |
| 1151 | 9293 | 10 |
Questions
What is the 1148th prime number?
9277.
Which prime number is 9277?
9277 is the 1148th prime number.
What is the sum of the first 1148 primes?
4,956,893.