What is the 5018th prime number?
The 5018th prime number is 48799. The next prime is 48809 (a gap of 10) and the one before is 48787.
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 5018th one is 48799.
- 2
48799 is prime because no prime up to ā48799 ā 220.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5018th prime is close to 5018 Ć ln(5018) ā 42757, and here it is 48799.
- 4
48799 has no twin: neither 48797 nor 48801 is prime.
Primes around the 5018th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5015 | 48779 | 12 |
| 5016 | 48781 | 2 |
| 5017 | 48787 | 6 |
| 5018 | 48799 | 12 |
| 5019 | 48809 | 10 |
| 5020 | 48817 | 8 |
| 5021 | 48821 | 4 |
Questions
What is the 5018th prime number?
48799.
Which prime number is 48799?
48799 is the 5018th prime number.
What is the sum of the first 5018 primes?
115,332,133.