What is the 1017th prime number?
The 1017th prime number is 8089. The next prime is 8093 (a gap of 4) and the one before is 8087.
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 1017th one is 8089.
- 2
8089 is prime because no prime up to ā8089 ā 89.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1017th prime is close to 1017 Ć ln(1017) ā 7042, and here it is 8089.
- 4
8089 is a twin prime: 8087 and 8089 are both prime.
Primes around the 1017th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1014 | 8069 | 10 |
| 1015 | 8081 | 12 |
| 1016 | 8087 | 6 |
| 1017 | 8089 | 2 |
| 1018 | 8093 | 4 |
| 1019 | 8101 | 8 |
| 1020 | 8111 | 10 |
Questions
What is the 1017th prime number?
8089.
Which prime number is 8089?
8089 is the 1017th prime number.
What is the sum of the first 1017 primes?
3,819,080.