What is the 1182nd prime number?
The 1182nd prime number is 9547. The next prime is 9551 (a gap of 4) and the one before is 9539.
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 1182nd one is 9547.
- 2
9547 is prime because no prime up to ā9547 ā 97.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1182nd prime is close to 1182 Ć ln(1182) ā 8363, and here it is 9547.
- 4
9547 has no twin: neither 9545 nor 9549 is prime.
Primes around the 1182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1179 | 9521 | 10 |
| 1180 | 9533 | 12 |
| 1181 | 9539 | 6 |
| 1182 | 9547 | 8 |
| 1183 | 9551 | 4 |
| 1184 | 9587 | 36 |
| 1185 | 9601 | 14 |
Questions
What is the 1182nd prime number?
9547.
Which prime number is 9547?
9547 is the 1182nd prime number.
What is the sum of the first 1182 primes?
5,276,987.