What is the 3229th prime number?
The 3229th prime number is 29803. The next prime is 29819 (a gap of 16) and the one before is 29789.
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 3229th one is 29803.
- 2
29803 is prime because no prime up to ā29803 ā 172.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3229th prime is close to 3229 Ć ln(3229) ā 26090, and here it is 29803.
- 4
29803 has no twin: neither 29801 nor 29805 is prime.
Primes around the 3229th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3226 | 29759 | 6 |
| 3227 | 29761 | 2 |
| 3228 | 29789 | 28 |
| 3229 | 29803 | 14 |
| 3230 | 29819 | 16 |
| 3231 | 29833 | 14 |
| 3232 | 29837 | 4 |
Questions
What is the 3229th prime number?
29803.
Which prime number is 29803?
29803 is the 3229th prime number.
What is the sum of the first 3229 primes?
45,197,518.