What is the 1011th prime number?
The 1011th prime number is 8039. The next prime is 8053 (a gap of 14) and the one before is 8017.
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 1011th one is 8039.
- 2
8039 is prime because no prime up to ā8039 ā 89.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1011th prime is close to 1011 Ć ln(1011) ā 6995, and here it is 8039.
- 4
8039 has no twin: neither 8037 nor 8041 is prime.
Primes around the 1011th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1008 | 8009 | 16 |
| 1009 | 8011 | 2 |
| 1010 | 8017 | 6 |
| 1011 | 8039 | 22 |
| 1012 | 8053 | 14 |
| 1013 | 8059 | 6 |
| 1014 | 8069 | 10 |
Questions
What is the 1011th prime number?
8039.
Which prime number is 8039?
8039 is the 1011th prime number.
What is the sum of the first 1011 primes?
3,770,642.