What is the 779th prime number?
The 779th prime number is 5927. The next prime is 5939 (a gap of 12) and the one before is 5923.
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 779th one is 5927.
- 2
5927 is prime because no prime up to ā5927 ā 76.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 779th prime is close to 779 Ć ln(779) ā 5187, and here it is 5927.
- 4
5927 has no twin: neither 5925 nor 5929 is prime.
Primes around the 779th
| Position | Prime | Gap from the previous |
|---|---|---|
| 776 | 5897 | 16 |
| 777 | 5903 | 6 |
| 778 | 5923 | 20 |
| 779 | 5927 | 4 |
| 780 | 5939 | 12 |
| 781 | 5953 | 14 |
| 782 | 5981 | 28 |
Questions
What is the 779th prime number?
5927.
Which prime number is 5927?
5927 is the 779th prime number.
What is the sum of the first 779 primes?
2,150,874.