What is the 4139th prime number?
The 4139th prime number is 39317. The next prime is 39323 (a gap of 6) and the one before is 39313.
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 4139th one is 39317.
- 2
39317 is prime because no prime up to ā39317 ā 198.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4139th prime is close to 4139 Ć ln(4139) ā 34470, and here it is 39317.
- 4
39317 has no twin: neither 39315 nor 39319 is prime.
Primes around the 4139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4136 | 39293 | 42 |
| 4137 | 39301 | 8 |
| 4138 | 39313 | 12 |
| 4139 | 39317 | 4 |
| 4140 | 39323 | 6 |
| 4141 | 39341 | 18 |
| 4142 | 39343 | 2 |
Questions
What is the 4139th prime number?
39317.
Which prime number is 39317?
39317 is the 4139th prime number.
What is the sum of the first 4139 primes?
76,632,162.