What is the 2210th prime number?
The 2210th prime number is 19477. The next prime is 19483 (a gap of 6) and the one before is 19471.
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 2210th one is 19477.
- 2
19477 is prime because no prime up to ā19477 ā 139.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2210th prime is close to 2210 Ć ln(2210) ā 17019, and here it is 19477.
- 4
19477 has no twin: neither 19475 nor 19479 is prime.
Primes around the 2210th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2207 | 19463 | 6 |
| 2208 | 19469 | 6 |
| 2209 | 19471 | 2 |
| 2210 | 19477 | 6 |
| 2211 | 19483 | 6 |
| 2212 | 19489 | 6 |
| 2213 | 19501 | 12 |
Questions
What is the 2210th prime number?
19477.
Which prime number is 19477?
19477 is the 2210th prime number.
What is the sum of the first 2210 primes?
20,144,051.