What is the 229th prime number?
The 229th prime number is 1447. The next prime is 1451 (a gap of 4) and the one before is 1439.
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 229th one is 1447.
- 2
1447 is prime because no prime up to ā1447 ā 38.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 229th prime is close to 229 Ć ln(229) ā 1244, and here it is 1447.
- 4
1447 has no twin: neither 1445 nor 1449 is prime.
Primes around the 229th
| Position | Prime | Gap from the previous |
|---|---|---|
| 226 | 1429 | 2 |
| 227 | 1433 | 4 |
| 228 | 1439 | 6 |
| 229 | 1447 | 8 |
| 230 | 1451 | 4 |
| 231 | 1453 | 2 |
| 232 | 1459 | 6 |
Questions
What is the 229th prime number?
1447.
Which prime number is 1447?
1447 is the 229th prime number.
What is the sum of the first 229 primes?
150,274.