What is the 2215th prime number?
The 2215th prime number is 19531. The next prime is 19541 (a gap of 10) and the one before is 19507.
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 2215th one is 19531.
- 2
19531 is prime because no prime up to ā19531 ā 139.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2215th prime is close to 2215 Ć ln(2215) ā 17062, and here it is 19531.
- 4
19531 has no twin: neither 19529 nor 19533 is prime.
Primes around the 2215th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2212 | 19489 | 6 |
| 2213 | 19501 | 12 |
| 2214 | 19507 | 6 |
| 2215 | 19531 | 24 |
| 2216 | 19541 | 10 |
| 2217 | 19543 | 2 |
| 2218 | 19553 | 10 |
Questions
What is the 2215th prime number?
19531.
Which prime number is 19531?
19531 is the 2215th prime number.
What is the sum of the first 2215 primes?
20,241,562.