What is the 5213th prime number?
The 5213th prime number is 50893. The next prime is 50909 (a gap of 16) and the one before is 50891.
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 5213th one is 50893.
- 2
50893 is prime because no prime up to ā50893 ā 225.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5213th prime is close to 5213 Ć ln(5213) ā 44618, and here it is 50893.
- 4
50893 is a twin prime: 50891 and 50893 are both prime.
Primes around the 5213th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5210 | 50867 | 10 |
| 5211 | 50873 | 6 |
| 5212 | 50891 | 18 |
| 5213 | 50893 | 2 |
| 5214 | 50909 | 16 |
| 5215 | 50923 | 14 |
| 5216 | 50929 | 6 |
Questions
What is the 5213th prime number?
50893.
Which prime number is 50893?
50893 is the 5213th prime number.
What is the sum of the first 5213 primes?
125,047,794.