What is the 4099th prime number?
The 4099th prime number is 38917. The next prime is 38921 (a gap of 4) and the one before is 38903.
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 4099th one is 38917.
- 2
38917 is prime because no prime up to ā38917 ā 197.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4099th prime is close to 4099 Ć ln(4099) ā 34098, and here it is 38917.
- 4
38917 has no twin: neither 38915 nor 38919 is prime.
Primes around the 4099th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4096 | 38873 | 6 |
| 4097 | 38891 | 18 |
| 4098 | 38903 | 12 |
| 4099 | 38917 | 14 |
| 4100 | 38921 | 4 |
| 4101 | 38923 | 2 |
| 4102 | 38933 | 10 |
Questions
What is the 4099th prime number?
38917.
Which prime number is 38917?
38917 is the 4099th prime number.
What is the sum of the first 4099 primes?
75,067,258.