What is the 777th prime number?
The 777th prime number is 5903. The next prime is 5923 (a gap of 20) and the one before is 5897.
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 777th one is 5903.
- 2
5903 is prime because no prime up to ā5903 ā 76.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 777th prime is close to 777 Ć ln(777) ā 5171, and here it is 5903.
- 4
5903 has no twin: neither 5901 nor 5905 is prime.
Primes around the 777th
| Position | Prime | Gap from the previous |
|---|---|---|
| 774 | 5879 | 10 |
| 775 | 5881 | 2 |
| 776 | 5897 | 16 |
| 777 | 5903 | 6 |
| 778 | 5923 | 20 |
| 779 | 5927 | 4 |
| 780 | 5939 | 12 |
Questions
What is the 777th prime number?
5903.
Which prime number is 5903?
5903 is the 777th prime number.
What is the sum of the first 777 primes?
2,139,024.