What is the 182nd prime number?
The 182nd prime number is 1091. The next prime is 1093 (a gap of 2) and the one before is 1087.
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 182nd one is 1091.
- 2
1091 is prime because no prime up to ā1091 ā 33.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 182nd prime is close to 182 Ć ln(182) ā 947, and here it is 1091.
- 4
1091 is a twin prime: 1091 and 1093 are both prime.
Primes around the 182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 179 | 1063 | 2 |
| 180 | 1069 | 6 |
| 181 | 1087 | 18 |
| 182 | 1091 | 4 |
| 183 | 1093 | 2 |
| 184 | 1097 | 4 |
| 185 | 1103 | 6 |
Questions
What is the 182nd prime number?
1091.
Which prime number is 1091?
1091 is the 182nd prime number.
What is the sum of the first 182 primes?
90,763.