What is the 778th prime number?
The 778th prime number is 5923. The next prime is 5927 (a gap of 4) and the one before is 5903.
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 778th one is 5923.
- 2
5923 is prime because no prime up to ā5923 ā 76.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 778th prime is close to 778 Ć ln(778) ā 5179, and here it is 5923.
- 4
5923 has no twin: neither 5921 nor 5925 is prime.
Primes around the 778th
| Position | Prime | Gap from the previous |
|---|---|---|
| 775 | 5881 | 2 |
| 776 | 5897 | 16 |
| 777 | 5903 | 6 |
| 778 | 5923 | 20 |
| 779 | 5927 | 4 |
| 780 | 5939 | 12 |
| 781 | 5953 | 14 |
Questions
What is the 778th prime number?
5923.
Which prime number is 5923?
5923 is the 778th prime number.
What is the sum of the first 778 primes?
2,144,947.