What is the 2180th prime number?
The 2180th prime number is 19219. The next prime is 19231 (a gap of 12) and the one before is 19213.
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 2180th one is 19219.
- 2
19219 is prime because no prime up to ā19219 ā 138.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2180th prime is close to 2180 Ć ln(2180) ā 16758, and here it is 19219.
- 4
19219 has no twin: neither 19217 nor 19221 is prime.
Primes around the 2180th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2177 | 19207 | 24 |
| 2178 | 19211 | 4 |
| 2179 | 19213 | 2 |
| 2180 | 19219 | 6 |
| 2181 | 19231 | 12 |
| 2182 | 19237 | 6 |
| 2183 | 19249 | 12 |
Questions
What is the 2180th prime number?
19219.
Which prime number is 19219?
19219 is the 2180th prime number.
What is the sum of the first 2180 primes?
19,562,895.