What is the 7728th prime number?
The 7728th prime number is 78791. The next prime is 78797 (a gap of 6) and the one before is 78787.
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 7728th one is 78791.
- 2
78791 is prime because no prime up to ā78791 ā 280.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7728th prime is close to 7728 Ć ln(7728) ā 69186, and here it is 78791.
- 4
78791 has no twin: neither 78789 nor 78793 is prime.
Primes around the 7728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7725 | 78779 | 42 |
| 7726 | 78781 | 2 |
| 7727 | 78787 | 6 |
| 7728 | 78791 | 4 |
| 7729 | 78797 | 6 |
| 7730 | 78803 | 6 |
| 7731 | 78809 | 6 |
Questions
What is the 7728th prime number?
78791.
Which prime number is 78791?
78791 is the 7728th prime number.
What is the sum of the first 7728 primes?
287,831,225.