What is the 2216th prime number?
The 2216th prime number is 19541. The next prime is 19543 (a gap of 2) and the one before is 19531.
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 2216th one is 19541.
- 2
19541 is prime because no prime up to ā19541 ā 139.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2216th prime is close to 2216 Ć ln(2216) ā 17071, and here it is 19541.
- 4
19541 is a twin prime: 19541 and 19543 are both prime.
Primes around the 2216th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2213 | 19501 | 12 |
| 2214 | 19507 | 6 |
| 2215 | 19531 | 24 |
| 2216 | 19541 | 10 |
| 2217 | 19543 | 2 |
| 2218 | 19553 | 10 |
| 2219 | 19559 | 6 |
Questions
What is the 2216th prime number?
19541.
Which prime number is 19541?
19541 is the 2216th prime number.
What is the sum of the first 2216 primes?
20,261,103.