What is the 4109th prime number?
The 4109th prime number is 39023. The next prime is 39041 (a gap of 18) and the one before is 39019.
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 4109th one is 39023.
- 2
39023 is prime because no prime up to ā39023 ā 197.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4109th prime is close to 4109 Ć ln(4109) ā 34191, and here it is 39023.
- 4
39023 has no twin: neither 39021 nor 39025 is prime.
Primes around the 4109th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4106 | 38977 | 6 |
| 4107 | 38993 | 16 |
| 4108 | 39019 | 26 |
| 4109 | 39023 | 4 |
| 4110 | 39041 | 18 |
| 4111 | 39043 | 2 |
| 4112 | 39047 | 4 |
Questions
What is the 4109th prime number?
39023.
Which prime number is 39023?
39023 is the 4109th prime number.
What is the sum of the first 4109 primes?
75,456,930.