What is the 1173rd prime number?
The 1173rd prime number is 9467. The next prime is 9473 (a gap of 6) and the one before is 9463.
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 1173rd one is 9467.
- 2
9467 is prime because no prime up to ā9467 ā 97.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1173rd prime is close to 1173 Ć ln(1173) ā 8290, and here it is 9467.
- 4
9467 has no twin: neither 9465 nor 9469 is prime.
Primes around the 1173rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1170 | 9439 | 2 |
| 1171 | 9461 | 22 |
| 1172 | 9463 | 2 |
| 1173 | 9467 | 4 |
| 1174 | 9473 | 6 |
| 1175 | 9479 | 6 |
| 1176 | 9491 | 12 |
Questions
What is the 1173rd prime number?
9467.
Which prime number is 9467?
9467 is the 1173rd prime number.
What is the sum of the first 1173 primes?
5,191,396.