What is the 2015th prime number?
The 2015th prime number is 17509. The next prime is 17519 (a gap of 10) and the one before is 17497.
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 2015th one is 17509.
- 2
17509 is prime because no prime up to ā17509 ā 132.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2015th prime is close to 2015 Ć ln(2015) ā 15331, and here it is 17509.
- 4
17509 has no twin: neither 17507 nor 17511 is prime.
Primes around the 2015th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2012 | 17489 | 6 |
| 2013 | 17491 | 2 |
| 2014 | 17497 | 6 |
| 2015 | 17509 | 12 |
| 2016 | 17519 | 10 |
| 2017 | 17539 | 20 |
| 2018 | 17551 | 12 |
Questions
What is the 2015th prime number?
17509.
Which prime number is 17509?
17509 is the 2015th prime number.
What is the sum of the first 2015 primes?
16,536,464.