What is the 776th prime number?
The 776th prime number is 5897. The next prime is 5903 (a gap of 6) and the one before is 5881.
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 776th one is 5897.
- 2
5897 is prime because no prime up to ā5897 ā 76.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 776th prime is close to 776 Ć ln(776) ā 5164, and here it is 5897.
- 4
5897 has no twin: neither 5895 nor 5899 is prime.
Primes around the 776th
| Position | Prime | Gap from the previous |
|---|---|---|
| 773 | 5869 | 2 |
| 774 | 5879 | 10 |
| 775 | 5881 | 2 |
| 776 | 5897 | 16 |
| 777 | 5903 | 6 |
| 778 | 5923 | 20 |
| 779 | 5927 | 4 |
Questions
What is the 776th prime number?
5897.
Which prime number is 5897?
5897 is the 776th prime number.
What is the sum of the first 776 primes?
2,133,121.