What is the 3184th prime number?
The 3184th prime number is 29303. The next prime is 29311 (a gap of 8) and the one before is 29297.
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 3184th one is 29303.
- 2
29303 is prime because no prime up to ā29303 ā 171.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3184th prime is close to 3184 Ć ln(3184) ā 25682, and here it is 29303.
- 4
29303 has no twin: neither 29301 nor 29305 is prime.
Primes around the 3184th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3181 | 29269 | 18 |
| 3182 | 29287 | 18 |
| 3183 | 29297 | 10 |
| 3184 | 29303 | 6 |
| 3185 | 29311 | 8 |
| 3186 | 29327 | 16 |
| 3187 | 29333 | 6 |
Questions
What is the 3184th prime number?
29303.
Which prime number is 29303?
29303 is the 3184th prime number.
What is the sum of the first 3184 primes?
43,868,169.