What is the 4134th prime number?
The 4134th prime number is 39241. The next prime is 39251 (a gap of 10) and the one before is 39239.
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 4134th one is 39241.
- 2
39241 is prime because no prime up to ā39241 ā 198.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4134th prime is close to 4134 Ć ln(4134) ā 34424, and here it is 39241.
- 4
39241 is a twin prime: 39239 and 39241 are both prime.
Primes around the 4134th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4131 | 39229 | 2 |
| 4132 | 39233 | 4 |
| 4133 | 39239 | 6 |
| 4134 | 39241 | 2 |
| 4135 | 39251 | 10 |
| 4136 | 39293 | 42 |
| 4137 | 39301 | 8 |
Questions
What is the 4134th prime number?
39241.
Which prime number is 39241?
39241 is the 4134th prime number.
What is the sum of the first 4134 primes?
76,435,687.