What is the 5819th prime number?
The 5819th prime number is 57383. The next prime is 57389 (a gap of 6) and the one before is 57373.
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 5819th one is 57383.
- 2
57383 is prime because no prime up to ā57383 ā 239.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5819th prime is close to 5819 Ć ln(5819) ā 50444, and here it is 57383.
- 4
57383 has no twin: neither 57381 nor 57385 is prime.
Primes around the 5819th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5816 | 57349 | 2 |
| 5817 | 57367 | 18 |
| 5818 | 57373 | 6 |
| 5819 | 57383 | 10 |
| 5820 | 57389 | 6 |
| 5821 | 57397 | 8 |
| 5822 | 57413 | 16 |
Questions
What is the 5819th prime number?
57383.
Which prime number is 57383?
57383 is the 5819th prime number.
What is the sum of the first 5819 primes?
157,880,344.