What is the 780th prime number?
The 780th prime number is 5939. The next prime is 5953 (a gap of 14) and the one before is 5927.
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 780th one is 5939.
- 2
5939 is prime because no prime up to ā5939 ā 77.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 780th prime is close to 780 Ć ln(780) ā 5194, and here it is 5939.
- 4
5939 has no twin: neither 5937 nor 5941 is prime.
Primes around the 780th
| Position | Prime | Gap from the previous |
|---|---|---|
| 777 | 5903 | 6 |
| 778 | 5923 | 20 |
| 779 | 5927 | 4 |
| 780 | 5939 | 12 |
| 781 | 5953 | 14 |
| 782 | 5981 | 28 |
| 783 | 5987 | 6 |
Questions
What is the 780th prime number?
5939.
Which prime number is 5939?
5939 is the 780th prime number.
What is the sum of the first 780 primes?
2,156,813.