What is the 4135th prime number?
The 4135th prime number is 39251. The next prime is 39293 (a gap of 42) and the one before is 39241.
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 4135th one is 39251.
- 2
39251 is prime because no prime up to ā39251 ā 198.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4135th prime is close to 4135 Ć ln(4135) ā 34433, and here it is 39251.
- 4
39251 has no twin: neither 39249 nor 39253 is prime.
Primes around the 4135th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4132 | 39233 | 4 |
| 4133 | 39239 | 6 |
| 4134 | 39241 | 2 |
| 4135 | 39251 | 10 |
| 4136 | 39293 | 42 |
| 4137 | 39301 | 8 |
| 4138 | 39313 | 12 |
Questions
What is the 4135th prime number?
39251.
Which prime number is 39251?
39251 is the 4135th prime number.
What is the sum of the first 4135 primes?
76,474,938.