What is the 4108th prime number?
The 4108th prime number is 39019. The next prime is 39023 (a gap of 4) and the one before is 38993.
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 4108th one is 39019.
- 2
39019 is prime because no prime up to ā39019 ā 197.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4108th prime is close to 4108 Ć ln(4108) ā 34181, and here it is 39019.
- 4
39019 has no twin: neither 39017 nor 39021 is prime.
Primes around the 4108th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4105 | 38971 | 12 |
| 4106 | 38977 | 6 |
| 4107 | 38993 | 16 |
| 4108 | 39019 | 26 |
| 4109 | 39023 | 4 |
| 4110 | 39041 | 18 |
| 4111 | 39043 | 2 |
Questions
What is the 4108th prime number?
39019.
Which prime number is 39019?
39019 is the 4108th prime number.
What is the sum of the first 4108 primes?
75,417,907.