What is the 7729th prime number?
The 7729th prime number is 78797. The next prime is 78803 (a gap of 6) and the one before is 78791.
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 7729th one is 78797.
- 2
78797 is prime because no prime up to ā78797 ā 280.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7729th prime is close to 7729 Ć ln(7729) ā 69196, and here it is 78797.
- 4
78797 has no twin: neither 78795 nor 78799 is prime.
Primes around the 7729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7726 | 78781 | 2 |
| 7727 | 78787 | 6 |
| 7728 | 78791 | 4 |
| 7729 | 78797 | 6 |
| 7730 | 78803 | 6 |
| 7731 | 78809 | 6 |
| 7732 | 78823 | 14 |
Questions
What is the 7729th prime number?
78797.
Which prime number is 78797?
78797 is the 7729th prime number.
What is the sum of the first 7729 primes?
287,910,022.