What is the 3185th prime number?
The 3185th prime number is 29311. The next prime is 29327 (a gap of 16) and the one before is 29303.
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 3185th one is 29311.
- 2
29311 is prime because no prime up to ā29311 ā 171.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3185th prime is close to 3185 Ć ln(3185) ā 25691, and here it is 29311.
- 4
29311 has no twin: neither 29309 nor 29313 is prime.
Primes around the 3185th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3182 | 29287 | 18 |
| 3183 | 29297 | 10 |
| 3184 | 29303 | 6 |
| 3185 | 29311 | 8 |
| 3186 | 29327 | 16 |
| 3187 | 29333 | 6 |
| 3188 | 29339 | 6 |
Questions
What is the 3185th prime number?
29311.
Which prime number is 29311?
29311 is the 3185th prime number.
What is the sum of the first 3185 primes?
43,897,480.