What is the 2179th prime number?
The 2179th prime number is 19213. The next prime is 19219 (a gap of 6) and the one before is 19211.
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 2179th one is 19213.
- 2
19213 is prime because no prime up to ā19213 ā 138.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2179th prime is close to 2179 Ć ln(2179) ā 16749, and here it is 19213.
- 4
19213 is a twin prime: 19211 and 19213 are both prime.
Primes around the 2179th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2176 | 19183 | 2 |
| 2177 | 19207 | 24 |
| 2178 | 19211 | 4 |
| 2179 | 19213 | 2 |
| 2180 | 19219 | 6 |
| 2181 | 19231 | 12 |
| 2182 | 19237 | 6 |
Questions
What is the 2179th prime number?
19213.
Which prime number is 19213?
19213 is the 2179th prime number.
What is the sum of the first 2179 primes?
19,543,676.