What is the 1015th prime number?
The 1015th prime number is 8081. The next prime is 8087 (a gap of 6) and the one before is 8069.
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 1015th one is 8081.
- 2
8081 is prime because no prime up to ā8081 ā 89.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1015th prime is close to 1015 Ć ln(1015) ā 7026, and here it is 8081.
- 4
8081 has no twin: neither 8079 nor 8083 is prime.
Primes around the 1015th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1012 | 8053 | 14 |
| 1013 | 8059 | 6 |
| 1014 | 8069 | 10 |
| 1015 | 8081 | 12 |
| 1016 | 8087 | 6 |
| 1017 | 8089 | 2 |
| 1018 | 8093 | 4 |
Questions
What is the 1015th prime number?
8081.
Which prime number is 8081?
8081 is the 1015th prime number.
What is the sum of the first 1015 primes?
3,802,904.