What is the 4133rd prime number?
The 4133rd prime number is 39239. The next prime is 39241 (a gap of 2) and the one before is 39233.
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 4133rd one is 39239.
- 2
39239 is prime because no prime up to ā39239 ā 198.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4133rd prime is close to 4133 Ć ln(4133) ā 34414, and here it is 39239.
- 4
39239 is a twin prime: 39239 and 39241 are both prime.
Primes around the 4133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4130 | 39227 | 10 |
| 4131 | 39229 | 2 |
| 4132 | 39233 | 4 |
| 4133 | 39239 | 6 |
| 4134 | 39241 | 2 |
| 4135 | 39251 | 10 |
| 4136 | 39293 | 42 |
Questions
What is the 4133rd prime number?
39239.
Which prime number is 39239?
39239 is the 4133rd prime number.
What is the sum of the first 4133 primes?
76,396,446.