What is the 2178th prime number?
The 2178th prime number is 19211. The next prime is 19213 (a gap of 2) and the one before is 19207.
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 2178th one is 19211.
- 2
19211 is prime because no prime up to ā19211 ā 138.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2178th prime is close to 2178 Ć ln(2178) ā 16740, and here it is 19211.
- 4
19211 is a twin prime: 19211 and 19213 are both prime.
Primes around the 2178th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2175 | 19181 | 18 |
| 2176 | 19183 | 2 |
| 2177 | 19207 | 24 |
| 2178 | 19211 | 4 |
| 2179 | 19213 | 2 |
| 2180 | 19219 | 6 |
| 2181 | 19231 | 12 |
Questions
What is the 2178th prime number?
19211.
Which prime number is 19211?
19211 is the 2178th prime number.
What is the sum of the first 2178 primes?
19,524,463.