What is the 1183rd prime number?
The 1183rd prime number is 9551. The next prime is 9587 (a gap of 36) and the one before is 9547.
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 1183rd one is 9551.
- 2
9551 is prime because no prime up to ā9551 ā 97.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1183rd prime is close to 1183 Ć ln(1183) ā 8371, and here it is 9551.
- 4
9551 has no twin: neither 9549 nor 9553 is prime.
Primes around the 1183rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1180 | 9533 | 12 |
| 1181 | 9539 | 6 |
| 1182 | 9547 | 8 |
| 1183 | 9551 | 4 |
| 1184 | 9587 | 36 |
| 1185 | 9601 | 14 |
| 1186 | 9613 | 12 |
Questions
What is the 1183rd prime number?
9551.
Which prime number is 9551?
9551 is the 1183rd prime number.
What is the sum of the first 1183 primes?
5,286,538.