What is the 5822nd prime number?
The 5822nd prime number is 57413. The next prime is 57427 (a gap of 14) and the one before is 57397.
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 5822nd one is 57413.
- 2
57413 is prime because no prime up to ā57413 ā 239.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5822nd prime is close to 5822 Ć ln(5822) ā 50473, and here it is 57413.
- 4
57413 has no twin: neither 57411 nor 57415 is prime.
Primes around the 5822nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5819 | 57383 | 10 |
| 5820 | 57389 | 6 |
| 5821 | 57397 | 8 |
| 5822 | 57413 | 16 |
| 5823 | 57427 | 14 |
| 5824 | 57457 | 30 |
| 5825 | 57467 | 10 |
Questions
What is the 5822nd prime number?
57413.
Which prime number is 57413?
57413 is the 5822nd prime number.
What is the sum of the first 5822 primes?
158,052,543.