What is the 788th prime number?
The 788th prime number is 6043. The next prime is 6047 (a gap of 4) and the one before is 6037.
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 788th one is 6043.
- 2
6043 is prime because no prime up to ā6043 ā 77.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 788th prime is close to 788 Ć ln(788) ā 5256, and here it is 6043.
- 4
6043 has no twin: neither 6041 nor 6045 is prime.
Primes around the 788th
| Position | Prime | Gap from the previous |
|---|---|---|
| 785 | 6011 | 4 |
| 786 | 6029 | 18 |
| 787 | 6037 | 8 |
| 788 | 6043 | 6 |
| 789 | 6047 | 4 |
| 790 | 6053 | 6 |
| 791 | 6067 | 14 |
Questions
What is the 788th prime number?
6043.
Which prime number is 6043?
6043 is the 788th prime number.
What is the sum of the first 788 primes?
2,204,861.