What is the 3019th prime number?
The 3019th prime number is 27689. The next prime is 27691 (a gap of 2) and the one before is 27673.
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 3019th one is 27689.
- 2
27689 is prime because no prime up to ā27689 ā 166.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3019th prime is close to 3019 Ć ln(3019) ā 24190, and here it is 27689.
- 4
27689 is a twin prime: 27689 and 27691 are both prime.
Primes around the 3019th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3016 | 27647 | 16 |
| 3017 | 27653 | 6 |
| 3018 | 27673 | 20 |
| 3019 | 27689 | 16 |
| 3020 | 27691 | 2 |
| 3021 | 27697 | 6 |
| 3022 | 27701 | 4 |
Questions
What is the 3019th prime number?
27689.
Which prime number is 27689?
27689 is the 3019th prime number.
What is the sum of the first 3019 primes?
39,168,996.