What is the 5816th prime number?
The 5816th prime number is 57349. The next prime is 57367 (a gap of 18) and the one before is 57347.
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 5816th one is 57349.
- 2
57349 is prime because no prime up to ā57349 ā 239.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5816th prime is close to 5816 Ć ln(5816) ā 50415, and here it is 57349.
- 4
57349 is a twin prime: 57347 and 57349 are both prime.
Primes around the 5816th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5813 | 57329 | 28 |
| 5814 | 57331 | 2 |
| 5815 | 57347 | 16 |
| 5816 | 57349 | 2 |
| 5817 | 57367 | 18 |
| 5818 | 57373 | 6 |
| 5819 | 57383 | 10 |
Questions
What is the 5816th prime number?
57349.
Which prime number is 57349?
57349 is the 5816th prime number.
What is the sum of the first 5816 primes?
157,708,221.