What is the 2017th prime number?
The 2017th prime number is 17539. The next prime is 17551 (a gap of 12) and the one before is 17519.
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 2017th one is 17539.
- 2
17539 is prime because no prime up to ā17539 ā 132.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2017th prime is close to 2017 Ć ln(2017) ā 15348, and here it is 17539.
- 4
17539 has no twin: neither 17537 nor 17541 is prime.
Primes around the 2017th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2014 | 17497 | 6 |
| 2015 | 17509 | 12 |
| 2016 | 17519 | 10 |
| 2017 | 17539 | 20 |
| 2018 | 17551 | 12 |
| 2019 | 17569 | 18 |
| 2020 | 17573 | 4 |
Questions
What is the 2017th prime number?
17539.
Which prime number is 17539?
17539 is the 2017th prime number.
What is the sum of the first 2017 primes?
16,571,522.