What is the 1181st prime number?
The 1181st prime number is 9539. The next prime is 9547 (a gap of 8) and the one before is 9533.
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 1181st one is 9539.
- 2
9539 is prime because no prime up to ā9539 ā 97.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1181st prime is close to 1181 Ć ln(1181) ā 8355, and here it is 9539.
- 4
9539 has no twin: neither 9537 nor 9541 is prime.
Primes around the 1181st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1178 | 9511 | 14 |
| 1179 | 9521 | 10 |
| 1180 | 9533 | 12 |
| 1181 | 9539 | 6 |
| 1182 | 9547 | 8 |
| 1183 | 9551 | 4 |
| 1184 | 9587 | 36 |
Questions
What is the 1181st prime number?
9539.
Which prime number is 9539?
9539 is the 1181st prime number.
What is the sum of the first 1181 primes?
5,267,440.