What is the 772nd prime number?
The 772nd prime number is 5867. The next prime is 5869 (a gap of 2) and the one before is 5861.
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 772nd one is 5867.
- 2
5867 is prime because no prime up to ā5867 ā 76.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 772nd prime is close to 772 Ć ln(772) ā 5133, and here it is 5867.
- 4
5867 is a twin prime: 5867 and 5869 are both prime.
Primes around the 772nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 769 | 5851 | 2 |
| 770 | 5857 | 6 |
| 771 | 5861 | 4 |
| 772 | 5867 | 6 |
| 773 | 5869 | 2 |
| 774 | 5879 | 10 |
| 775 | 5881 | 2 |
Questions
What is the 772nd prime number?
5867.
Which prime number is 5867?
5867 is the 772nd prime number.
What is the sum of the first 772 primes?
2,109,595.