What is the 2230th prime number?
The 2230th prime number is 19699. The next prime is 19709 (a gap of 10) and the one before is 19697.
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 2230th one is 19699.
- 2
19699 is prime because no prime up to ā19699 ā 140.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2230th prime is close to 2230 Ć ln(2230) ā 17193, and here it is 19699.
- 4
19699 is a twin prime: 19697 and 19699 are both prime.
Primes around the 2230th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2227 | 19681 | 20 |
| 2228 | 19687 | 6 |
| 2229 | 19697 | 10 |
| 2230 | 19699 | 2 |
| 2231 | 19709 | 10 |
| 2232 | 19717 | 8 |
| 2233 | 19727 | 10 |
Questions
What is the 2230th prime number?
19699.
Which prime number is 19699?
19699 is the 2230th prime number.
What is the sum of the first 2230 primes?
20,535,723.