What is the 1018th prime number?
The 1018th prime number is 8093. The next prime is 8101 (a gap of 8) and the one before is 8089.
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 1018th one is 8093.
- 2
8093 is prime because no prime up to ā8093 ā 89.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1018th prime is close to 1018 Ć ln(1018) ā 7050, and here it is 8093.
- 4
8093 has no twin: neither 8091 nor 8095 is prime.
Primes around the 1018th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1015 | 8081 | 12 |
| 1016 | 8087 | 6 |
| 1017 | 8089 | 2 |
| 1018 | 8093 | 4 |
| 1019 | 8101 | 8 |
| 1020 | 8111 | 10 |
| 1021 | 8117 | 6 |
Questions
What is the 1018th prime number?
8093.
Which prime number is 8093?
8093 is the 1018th prime number.
What is the sum of the first 1018 primes?
3,827,173.