What is the 1013th prime number?
The 1013th prime number is 8059. The next prime is 8069 (a gap of 10) and the one before is 8053.
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 1013th one is 8059.
- 2
8059 is prime because no prime up to ā8059 ā 89.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1013th prime is close to 1013 Ć ln(1013) ā 7011, and here it is 8059.
- 4
8059 has no twin: neither 8057 nor 8061 is prime.
Primes around the 1013th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1010 | 8017 | 6 |
| 1011 | 8039 | 22 |
| 1012 | 8053 | 14 |
| 1013 | 8059 | 6 |
| 1014 | 8069 | 10 |
| 1015 | 8081 | 12 |
| 1016 | 8087 | 6 |
Questions
What is the 1013th prime number?
8059.
Which prime number is 8059?
8059 is the 1013th prime number.
What is the sum of the first 1013 primes?
3,786,754.