What is the 1016th prime number?
The 1016th prime number is 8087. The next prime is 8089 (a gap of 2) and the one before is 8081.
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 1016th one is 8087.
- 2
8087 is prime because no prime up to ā8087 ā 89.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1016th prime is close to 1016 Ć ln(1016) ā 7034, and here it is 8087.
- 4
8087 is a twin prime: 8087 and 8089 are both prime.
Primes around the 1016th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1013 | 8059 | 6 |
| 1014 | 8069 | 10 |
| 1015 | 8081 | 12 |
| 1016 | 8087 | 6 |
| 1017 | 8089 | 2 |
| 1018 | 8093 | 4 |
| 1019 | 8101 | 8 |
Questions
What is the 1016th prime number?
8087.
Which prime number is 8087?
8087 is the 1016th prime number.
What is the sum of the first 1016 primes?
3,810,991.