What is the 3187th prime number?
The 3187th prime number is 29333. The next prime is 29339 (a gap of 6) and the one before is 29327.
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 3187th one is 29333.
- 2
29333 is prime because no prime up to ā29333 ā 171.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3187th prime is close to 3187 Ć ln(3187) ā 25709, and here it is 29333.
- 4
29333 has no twin: neither 29331 nor 29335 is prime.
Primes around the 3187th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3184 | 29303 | 6 |
| 3185 | 29311 | 8 |
| 3186 | 29327 | 16 |
| 3187 | 29333 | 6 |
| 3188 | 29339 | 6 |
| 3189 | 29347 | 8 |
| 3190 | 29363 | 16 |
Questions
What is the 3187th prime number?
29333.
Which prime number is 29333?
29333 is the 3187th prime number.
What is the sum of the first 3187 primes?
43,956,140.