What is the 1175th prime number?
The 1175th prime number is 9479. The next prime is 9491 (a gap of 12) and the one before is 9473.
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 1175th one is 9479.
- 2
9479 is prime because no prime up to ā9479 ā 97.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1175th prime is close to 1175 Ć ln(1175) ā 8306, and here it is 9479.
- 4
9479 has no twin: neither 9477 nor 9481 is prime.
Primes around the 1175th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1172 | 9463 | 2 |
| 1173 | 9467 | 4 |
| 1174 | 9473 | 6 |
| 1175 | 9479 | 6 |
| 1176 | 9491 | 12 |
| 1177 | 9497 | 6 |
| 1178 | 9511 | 14 |
Questions
What is the 1175th prime number?
9479.
Which prime number is 9479?
9479 is the 1175th prime number.
What is the sum of the first 1175 primes?
5,210,348.