What is the 5022nd prime number?
The 5022nd prime number is 48823. The next prime is 48847 (a gap of 24) and the one before is 48821.
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 5022nd one is 48823.
- 2
48823 is prime because no prime up to ā48823 ā 220.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5022nd prime is close to 5022 Ć ln(5022) ā 42795, and here it is 48823.
- 4
48823 is a twin prime: 48821 and 48823 are both prime.
Primes around the 5022nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5019 | 48809 | 10 |
| 5020 | 48817 | 8 |
| 5021 | 48821 | 4 |
| 5022 | 48823 | 2 |
| 5023 | 48847 | 24 |
| 5024 | 48857 | 10 |
| 5025 | 48859 | 2 |
Questions
What is the 5022nd prime number?
48823.
Which prime number is 48823?
48823 is the 5022nd prime number.
What is the sum of the first 5022 primes?
115,527,403.