What is the 789th prime number?
The 789th prime number is 6047. The next prime is 6053 (a gap of 6) and the one before is 6043.
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 789th one is 6047.
- 2
6047 is prime because no prime up to ā6047 ā 77.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 789th prime is close to 789 Ć ln(789) ā 5263, and here it is 6047.
- 4
6047 has no twin: neither 6045 nor 6049 is prime.
Primes around the 789th
| Position | Prime | Gap from the previous |
|---|---|---|
| 786 | 6029 | 18 |
| 787 | 6037 | 8 |
| 788 | 6043 | 6 |
| 789 | 6047 | 4 |
| 790 | 6053 | 6 |
| 791 | 6067 | 14 |
| 792 | 6073 | 6 |
Questions
What is the 789th prime number?
6047.
Which prime number is 6047?
6047 is the 789th prime number.
What is the sum of the first 789 primes?
2,210,908.