What is the 790th prime number?
The 790th prime number is 6053. The next prime is 6067 (a gap of 14) and the one before is 6047.
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 790th one is 6053.
- 2
6053 is prime because no prime up to ā6053 ā 77.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 790th prime is close to 790 Ć ln(790) ā 5271, and here it is 6053.
- 4
6053 has no twin: neither 6051 nor 6055 is prime.
Primes around the 790th
| Position | Prime | Gap from the previous |
|---|---|---|
| 787 | 6037 | 8 |
| 788 | 6043 | 6 |
| 789 | 6047 | 4 |
| 790 | 6053 | 6 |
| 791 | 6067 | 14 |
| 792 | 6073 | 6 |
| 793 | 6079 | 6 |
Questions
What is the 790th prime number?
6053.
Which prime number is 6053?
6053 is the 790th prime number.
What is the sum of the first 790 primes?
2,216,961.