What is the 2214th prime number?
The 2214th prime number is 19507. The next prime is 19531 (a gap of 24) and the one before is 19501.
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 2214th one is 19507.
- 2
19507 is prime because no prime up to ā19507 ā 139.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2214th prime is close to 2214 Ć ln(2214) ā 17053, and here it is 19507.
- 4
19507 has no twin: neither 19505 nor 19509 is prime.
Primes around the 2214th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2211 | 19483 | 6 |
| 2212 | 19489 | 6 |
| 2213 | 19501 | 12 |
| 2214 | 19507 | 6 |
| 2215 | 19531 | 24 |
| 2216 | 19541 | 10 |
| 2217 | 19543 | 2 |
Questions
What is the 2214th prime number?
19507.
Which prime number is 19507?
19507 is the 2214th prime number.
What is the sum of the first 2214 primes?
20,222,031.