What is the 5214th prime number?
The 5214th prime number is 50909. The next prime is 50923 (a gap of 14) and the one before is 50893.
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 5214th one is 50909.
- 2
50909 is prime because no prime up to ā50909 ā 225.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5214th prime is close to 5214 Ć ln(5214) ā 44627, and here it is 50909.
- 4
50909 has no twin: neither 50907 nor 50911 is prime.
Primes around the 5214th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5211 | 50873 | 6 |
| 5212 | 50891 | 18 |
| 5213 | 50893 | 2 |
| 5214 | 50909 | 16 |
| 5215 | 50923 | 14 |
| 5216 | 50929 | 6 |
| 5217 | 50951 | 22 |
Questions
What is the 5214th prime number?
50909.
Which prime number is 50909?
50909 is the 5214th prime number.
What is the sum of the first 5214 primes?
125,098,703.