What is the 1012th prime number?
The 1012th prime number is 8053. The next prime is 8059 (a gap of 6) and the one before is 8039.
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 1012th one is 8053.
- 2
8053 is prime because no prime up to ā8053 ā 89.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1012th prime is close to 1012 Ć ln(1012) ā 7003, and here it is 8053.
- 4
8053 has no twin: neither 8051 nor 8055 is prime.
Primes around the 1012th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1009 | 8011 | 2 |
| 1010 | 8017 | 6 |
| 1011 | 8039 | 22 |
| 1012 | 8053 | 14 |
| 1013 | 8059 | 6 |
| 1014 | 8069 | 10 |
| 1015 | 8081 | 12 |
Questions
What is the 1012th prime number?
8053.
Which prime number is 8053?
8053 is the 1012th prime number.
What is the sum of the first 1012 primes?
3,778,695.