What is the 3228th prime number?
The 3228th prime number is 29789. The next prime is 29803 (a gap of 14) and the one before is 29761.
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 3228th one is 29789.
- 2
29789 is prime because no prime up to ā29789 ā 172.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3228th prime is close to 3228 Ć ln(3228) ā 26081, and here it is 29789.
- 4
29789 has no twin: neither 29787 nor 29791 is prime.
Primes around the 3228th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3225 | 29753 | 12 |
| 3226 | 29759 | 6 |
| 3227 | 29761 | 2 |
| 3228 | 29789 | 28 |
| 3229 | 29803 | 14 |
| 3230 | 29819 | 16 |
| 3231 | 29833 | 14 |
Questions
What is the 3228th prime number?
29789.
Which prime number is 29789?
29789 is the 3228th prime number.
What is the sum of the first 3228 primes?
45,167,715.