What is the 5821st prime number?
The 5821st prime number is 57397. The next prime is 57413 (a gap of 16) and the one before is 57389.
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 5821st one is 57397.
- 2
57397 is prime because no prime up to ā57397 ā 239.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5821st prime is close to 5821 Ć ln(5821) ā 50464, and here it is 57397.
- 4
57397 has no twin: neither 57395 nor 57399 is prime.
Primes around the 5821st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5818 | 57373 | 6 |
| 5819 | 57383 | 10 |
| 5820 | 57389 | 6 |
| 5821 | 57397 | 8 |
| 5822 | 57413 | 16 |
| 5823 | 57427 | 14 |
| 5824 | 57457 | 30 |
Questions
What is the 5821st prime number?
57397.
Which prime number is 57397?
57397 is the 5821st prime number.
What is the sum of the first 5821 primes?
157,995,130.