What is the 6018th prime number?
The 6018th prime number is 59513. The next prime is 59539 (a gap of 26) and the one before is 59509.
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 6018th one is 59513.
- 2
59513 is prime because no prime up to ā59513 ā 243.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6018th prime is close to 6018 Ć ln(6018) ā 52372, and here it is 59513.
- 4
59513 has no twin: neither 59511 nor 59515 is prime.
Primes around the 6018th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6015 | 59473 | 2 |
| 6016 | 59497 | 24 |
| 6017 | 59509 | 12 |
| 6018 | 59513 | 4 |
| 6019 | 59539 | 26 |
| 6020 | 59557 | 18 |
| 6021 | 59561 | 4 |
Questions
What is the 6018th prime number?
59513.
Which prime number is 59513?
59513 is the 6018th prime number.
What is the sum of the first 6018 primes?
169,518,603.