What is the 5820th prime number?
The 5820th prime number is 57389. The next prime is 57397 (a gap of 8) and the one before is 57383.
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 5820th one is 57389.
- 2
57389 is prime because no prime up to ā57389 ā 239.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5820th prime is close to 5820 Ć ln(5820) ā 50454, and here it is 57389.
- 4
57389 has no twin: neither 57387 nor 57391 is prime.
Primes around the 5820th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5817 | 57367 | 18 |
| 5818 | 57373 | 6 |
| 5819 | 57383 | 10 |
| 5820 | 57389 | 6 |
| 5821 | 57397 | 8 |
| 5822 | 57413 | 16 |
| 5823 | 57427 | 14 |
Questions
What is the 5820th prime number?
57389.
Which prime number is 57389?
57389 is the 5820th prime number.
What is the sum of the first 5820 primes?
157,937,733.