What is the 3188th prime number?
The 3188th prime number is 29339. The next prime is 29347 (a gap of 8) and the one before is 29333.
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 3188th one is 29339.
- 2
29339 is prime because no prime up to ā29339 ā 171.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3188th prime is close to 3188 Ć ln(3188) ā 25718, and here it is 29339.
- 4
29339 has no twin: neither 29337 nor 29341 is prime.
Primes around the 3188th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3185 | 29311 | 8 |
| 3186 | 29327 | 16 |
| 3187 | 29333 | 6 |
| 3188 | 29339 | 6 |
| 3189 | 29347 | 8 |
| 3190 | 29363 | 16 |
| 3191 | 29383 | 20 |
Questions
What is the 3188th prime number?
29339.
Which prime number is 29339?
29339 is the 3188th prime number.
What is the sum of the first 3188 primes?
43,985,479.