What is the 2018th prime number?
The 2018th prime number is 17551. The next prime is 17569 (a gap of 18) and the one before is 17539.
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 2018th one is 17551.
- 2
17551 is prime because no prime up to ā17551 ā 132.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2018th prime is close to 2018 Ć ln(2018) ā 15357, and here it is 17551.
- 4
17551 has no twin: neither 17549 nor 17553 is prime.
Primes around the 2018th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2015 | 17509 | 12 |
| 2016 | 17519 | 10 |
| 2017 | 17539 | 20 |
| 2018 | 17551 | 12 |
| 2019 | 17569 | 18 |
| 2020 | 17573 | 4 |
| 2021 | 17579 | 6 |
Questions
What is the 2018th prime number?
17551.
Which prime number is 17551?
17551 is the 2018th prime number.
What is the sum of the first 2018 primes?
16,589,073.