What is the 2183rd prime number?
The 2183rd prime number is 19249. The next prime is 19259 (a gap of 10) and the one before is 19237.
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 2183rd one is 19249.
- 2
19249 is prime because no prime up to ā19249 ā 138.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2183rd prime is close to 2183 Ć ln(2183) ā 16784, and here it is 19249.
- 4
19249 has no twin: neither 19247 nor 19251 is prime.
Primes around the 2183rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2180 | 19219 | 6 |
| 2181 | 19231 | 12 |
| 2182 | 19237 | 6 |
| 2183 | 19249 | 12 |
| 2184 | 19259 | 10 |
| 2185 | 19267 | 8 |
| 2186 | 19273 | 6 |
Questions
What is the 2183rd prime number?
19249.
Which prime number is 19249?
19249 is the 2183rd prime number.
What is the sum of the first 2183 primes?
19,620,612.