What is the 1174th prime number?
The 1174th prime number is 9473. The next prime is 9479 (a gap of 6) and the one before is 9467.
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 1174th one is 9473.
- 2
9473 is prime because no prime up to ā9473 ā 97.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1174th prime is close to 1174 Ć ln(1174) ā 8298, and here it is 9473.
- 4
9473 has no twin: neither 9471 nor 9475 is prime.
Primes around the 1174th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1171 | 9461 | 22 |
| 1172 | 9463 | 2 |
| 1173 | 9467 | 4 |
| 1174 | 9473 | 6 |
| 1175 | 9479 | 6 |
| 1176 | 9491 | 12 |
| 1177 | 9497 | 6 |
Questions
What is the 1174th prime number?
9473.
Which prime number is 9473?
9473 is the 1174th prime number.
What is the sum of the first 1174 primes?
5,200,869.