What is the 4136th prime number?
The 4136th prime number is 39293. The next prime is 39301 (a gap of 8) and the one before is 39251.
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 4136th one is 39293.
- 2
39293 is prime because no prime up to ā39293 ā 198.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4136th prime is close to 4136 Ć ln(4136) ā 34442, and here it is 39293.
- 4
39293 has no twin: neither 39291 nor 39295 is prime.
Primes around the 4136th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4133 | 39239 | 6 |
| 4134 | 39241 | 2 |
| 4135 | 39251 | 10 |
| 4136 | 39293 | 42 |
| 4137 | 39301 | 8 |
| 4138 | 39313 | 12 |
| 4139 | 39317 | 4 |
Questions
What is the 4136th prime number?
39293.
Which prime number is 39293?
39293 is the 4136th prime number.
What is the sum of the first 4136 primes?
76,514,231.