What is the 4132nd prime number?
The 4132nd prime number is 39233. The next prime is 39239 (a gap of 6) and the one before is 39229.
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 4132nd one is 39233.
- 2
39233 is prime because no prime up to ā39233 ā 198.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4132nd prime is close to 4132 Ć ln(4132) ā 34405, and here it is 39233.
- 4
39233 has no twin: neither 39231 nor 39235 is prime.
Primes around the 4132nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4129 | 39217 | 8 |
| 4130 | 39227 | 10 |
| 4131 | 39229 | 2 |
| 4132 | 39233 | 4 |
| 4133 | 39239 | 6 |
| 4134 | 39241 | 2 |
| 4135 | 39251 | 10 |
Questions
What is the 4132nd prime number?
39233.
Which prime number is 39233?
39233 is the 4132nd prime number.
What is the sum of the first 4132 primes?
76,357,207.