What is the 3020th prime number?
The 3020th prime number is 27691. The next prime is 27697 (a gap of 6) and the one before is 27689.
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 3020th one is 27691.
- 2
27691 is prime because no prime up to ā27691 ā 166.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3020th prime is close to 3020 Ć ln(3020) ā 24199, and here it is 27691.
- 4
27691 is a twin prime: 27689 and 27691 are both prime.
Primes around the 3020th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3017 | 27653 | 6 |
| 3018 | 27673 | 20 |
| 3019 | 27689 | 16 |
| 3020 | 27691 | 2 |
| 3021 | 27697 | 6 |
| 3022 | 27701 | 4 |
| 3023 | 27733 | 32 |
Questions
What is the 3020th prime number?
27691.
Which prime number is 27691?
27691 is the 3020th prime number.
What is the sum of the first 3020 primes?
39,196,687.