What is the 1180th prime number?
The 1180th prime number is 9533. The next prime is 9539 (a gap of 6) and the one before is 9521.
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 1180th one is 9533.
- 2
9533 is prime because no prime up to ā9533 ā 97.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1180th prime is close to 1180 Ć ln(1180) ā 8346, and here it is 9533.
- 4
9533 has no twin: neither 9531 nor 9535 is prime.
Primes around the 1180th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1177 | 9497 | 6 |
| 1178 | 9511 | 14 |
| 1179 | 9521 | 10 |
| 1180 | 9533 | 12 |
| 1181 | 9539 | 6 |
| 1182 | 9547 | 8 |
| 1183 | 9551 | 4 |
Questions
What is the 1180th prime number?
9533.
Which prime number is 9533?
9533 is the 1180th prime number.
What is the sum of the first 1180 primes?
5,257,901.