What is the 5021st prime number?
The 5021st prime number is 48821. The next prime is 48823 (a gap of 2) and the one before is 48817.
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 5021st one is 48821.
- 2
48821 is prime because no prime up to ā48821 ā 220.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5021st prime is close to 5021 Ć ln(5021) ā 42786, and here it is 48821.
- 4
48821 is a twin prime: 48821 and 48823 are both prime.
Primes around the 5021st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5018 | 48799 | 12 |
| 5019 | 48809 | 10 |
| 5020 | 48817 | 8 |
| 5021 | 48821 | 4 |
| 5022 | 48823 | 2 |
| 5023 | 48847 | 24 |
| 5024 | 48857 | 10 |
Questions
What is the 5021st prime number?
48821.
Which prime number is 48821?
48821 is the 5021st prime number.
What is the sum of the first 5021 primes?
115,478,580.