What is the 2016th prime number?
The 2016th prime number is 17519. The next prime is 17539 (a gap of 20) and the one before is 17509.
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 2016th one is 17519.
- 2
17519 is prime because no prime up to ā17519 ā 132.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2016th prime is close to 2016 Ć ln(2016) ā 15339, and here it is 17519.
- 4
17519 has no twin: neither 17517 nor 17521 is prime.
Primes around the 2016th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2013 | 17491 | 2 |
| 2014 | 17497 | 6 |
| 2015 | 17509 | 12 |
| 2016 | 17519 | 10 |
| 2017 | 17539 | 20 |
| 2018 | 17551 | 12 |
| 2019 | 17569 | 18 |
Questions
What is the 2016th prime number?
17519.
Which prime number is 17519?
17519 is the 2016th prime number.
What is the sum of the first 2016 primes?
16,553,983.