What is the 2229th prime number?
The 2229th prime number is 19697. The next prime is 19699 (a gap of 2) and the one before is 19687.
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 2229th one is 19697.
- 2
19697 is prime because no prime up to ā19697 ā 140.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2229th prime is close to 2229 Ć ln(2229) ā 17184, and here it is 19697.
- 4
19697 is a twin prime: 19697 and 19699 are both prime.
Primes around the 2229th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2226 | 19661 | 52 |
| 2227 | 19681 | 20 |
| 2228 | 19687 | 6 |
| 2229 | 19697 | 10 |
| 2230 | 19699 | 2 |
| 2231 | 19709 | 10 |
| 2232 | 19717 | 8 |
Questions
What is the 2229th prime number?
19697.
Which prime number is 19697?
19697 is the 2229th prime number.
What is the sum of the first 2229 primes?
20,516,024.