What is the 3018th prime number?
The 3018th prime number is 27673. The next prime is 27689 (a gap of 16) and the one before is 27653.
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 3018th one is 27673.
- 2
27673 is prime because no prime up to ā27673 ā 166.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3018th prime is close to 3018 Ć ln(3018) ā 24181, and here it is 27673.
- 4
27673 has no twin: neither 27671 nor 27675 is prime.
Primes around the 3018th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3015 | 27631 | 14 |
| 3016 | 27647 | 16 |
| 3017 | 27653 | 6 |
| 3018 | 27673 | 20 |
| 3019 | 27689 | 16 |
| 3020 | 27691 | 2 |
| 3021 | 27697 | 6 |
Questions
What is the 3018th prime number?
27673.
Which prime number is 27673?
27673 is the 3018th prime number.
What is the sum of the first 3018 primes?
39,141,307.