What is the 5020th prime number?
The 5020th prime number is 48817. The next prime is 48821 (a gap of 4) and the one before is 48809.
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 5020th one is 48817.
- 2
48817 is prime because no prime up to ā48817 ā 220.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5020th prime is close to 5020 Ć ln(5020) ā 42776, and here it is 48817.
- 4
48817 has no twin: neither 48815 nor 48819 is prime.
Primes around the 5020th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5017 | 48787 | 6 |
| 5018 | 48799 | 12 |
| 5019 | 48809 | 10 |
| 5020 | 48817 | 8 |
| 5021 | 48821 | 4 |
| 5022 | 48823 | 2 |
| 5023 | 48847 | 24 |
Questions
What is the 5020th prime number?
48817.
Which prime number is 48817?
48817 is the 5020th prime number.
What is the sum of the first 5020 primes?
115,429,759.