What is the 183rd prime number?
The 183rd prime number is 1093. The next prime is 1097 (a gap of 4) and the one before is 1091.
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 183rd one is 1093.
- 2
1093 is prime because no prime up to ā1093 ā 33.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 183rd prime is close to 183 Ć ln(183) ā 953, and here it is 1093.
- 4
1093 is a twin prime: 1091 and 1093 are both prime.
Primes around the 183rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 180 | 1069 | 6 |
| 181 | 1087 | 18 |
| 182 | 1091 | 4 |
| 183 | 1093 | 2 |
| 184 | 1097 | 4 |
| 185 | 1103 | 6 |
| 186 | 1109 | 6 |
Questions
What is the 183rd prime number?
1093.
Which prime number is 1093?
1093 is the 183rd prime number.
What is the sum of the first 183 primes?
91,856.