What is the 5019th prime number?
The 5019th prime number is 48809. The next prime is 48817 (a gap of 8) and the one before is 48799.
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 5019th one is 48809.
- 2
48809 is prime because no prime up to ā48809 ā 220.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5019th prime is close to 5019 Ć ln(5019) ā 42767, and here it is 48809.
- 4
48809 has no twin: neither 48807 nor 48811 is prime.
Primes around the 5019th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5016 | 48781 | 2 |
| 5017 | 48787 | 6 |
| 5018 | 48799 | 12 |
| 5019 | 48809 | 10 |
| 5020 | 48817 | 8 |
| 5021 | 48821 | 4 |
| 5022 | 48823 | 2 |
Questions
What is the 5019th prime number?
48809.
Which prime number is 48809?
48809 is the 5019th prime number.
What is the sum of the first 5019 primes?
115,380,942.