What is the 775th prime number?
The 775th prime number is 5881. The next prime is 5897 (a gap of 16) and the one before is 5879.
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 775th one is 5881.
- 2
5881 is prime because no prime up to ā5881 ā 76.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 775th prime is close to 775 Ć ln(775) ā 5156, and here it is 5881.
- 4
5881 is a twin prime: 5879 and 5881 are both prime.
Primes around the 775th
| Position | Prime | Gap from the previous |
|---|---|---|
| 772 | 5867 | 6 |
| 773 | 5869 | 2 |
| 774 | 5879 | 10 |
| 775 | 5881 | 2 |
| 776 | 5897 | 16 |
| 777 | 5903 | 6 |
| 778 | 5923 | 20 |
Questions
What is the 775th prime number?
5881.
Which prime number is 5881?
5881 is the 775th prime number.
What is the sum of the first 775 primes?
2,127,224.