What is the 2181st prime number?
The 2181st prime number is 19231. The next prime is 19237 (a gap of 6) and the one before is 19219.
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 2181st one is 19231.
- 2
19231 is prime because no prime up to ā19231 ā 138.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2181st prime is close to 2181 Ć ln(2181) ā 16767, and here it is 19231.
- 4
19231 has no twin: neither 19229 nor 19233 is prime.
Primes around the 2181st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2178 | 19211 | 4 |
| 2179 | 19213 | 2 |
| 2180 | 19219 | 6 |
| 2181 | 19231 | 12 |
| 2182 | 19237 | 6 |
| 2183 | 19249 | 12 |
| 2184 | 19259 | 10 |
Questions
What is the 2181st prime number?
19231.
Which prime number is 19231?
19231 is the 2181st prime number.
What is the sum of the first 2181 primes?
19,582,126.