What is the 1014th prime number?
The 1014th prime number is 8069. The next prime is 8081 (a gap of 12) and the one before is 8059.
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 1014th one is 8069.
- 2
8069 is prime because no prime up to ā8069 ā 89.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1014th prime is close to 1014 Ć ln(1014) ā 7019, and here it is 8069.
- 4
8069 has no twin: neither 8067 nor 8071 is prime.
Primes around the 1014th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1011 | 8039 | 22 |
| 1012 | 8053 | 14 |
| 1013 | 8059 | 6 |
| 1014 | 8069 | 10 |
| 1015 | 8081 | 12 |
| 1016 | 8087 | 6 |
| 1017 | 8089 | 2 |
Questions
What is the 1014th prime number?
8069.
Which prime number is 8069?
8069 is the 1014th prime number.
What is the sum of the first 1014 primes?
3,794,823.