What is the 774th prime number?
The 774th prime number is 5879. The next prime is 5881 (a gap of 2) and the one before is 5869.
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 774th one is 5879.
- 2
5879 is prime because no prime up to ā5879 ā 76.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 774th prime is close to 774 Ć ln(774) ā 5148, and here it is 5879.
- 4
5879 is a twin prime: 5879 and 5881 are both prime.
Primes around the 774th
| Position | Prime | Gap from the previous |
|---|---|---|
| 771 | 5861 | 4 |
| 772 | 5867 | 6 |
| 773 | 5869 | 2 |
| 774 | 5879 | 10 |
| 775 | 5881 | 2 |
| 776 | 5897 | 16 |
| 777 | 5903 | 6 |
Questions
What is the 774th prime number?
5879.
Which prime number is 5879?
5879 is the 774th prime number.
What is the sum of the first 774 primes?
2,121,343.