What is the 2014th prime number?
The 2014th prime number is 17497. The next prime is 17509 (a gap of 12) and the one before is 17491.
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 2014th one is 17497.
- 2
17497 is prime because no prime up to ā17497 ā 132.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2014th prime is close to 2014 Ć ln(2014) ā 15322, and here it is 17497.
- 4
17497 has no twin: neither 17495 nor 17499 is prime.
Primes around the 2014th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2011 | 17483 | 6 |
| 2012 | 17489 | 6 |
| 2013 | 17491 | 2 |
| 2014 | 17497 | 6 |
| 2015 | 17509 | 12 |
| 2016 | 17519 | 10 |
| 2017 | 17539 | 20 |
Questions
What is the 2014th prime number?
17497.
Which prime number is 17497?
17497 is the 2014th prime number.
What is the sum of the first 2014 primes?
16,518,955.