What is the 7730th prime number?
The 7730th prime number is 78803. The next prime is 78809 (a gap of 6) and the one before is 78797.
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 7730th one is 78803.
- 2
78803 is prime because no prime up to ā78803 ā 280.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7730th prime is close to 7730 Ć ln(7730) ā 69206, and here it is 78803.
- 4
78803 has no twin: neither 78801 nor 78805 is prime.
Primes around the 7730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7727 | 78787 | 6 |
| 7728 | 78791 | 4 |
| 7729 | 78797 | 6 |
| 7730 | 78803 | 6 |
| 7731 | 78809 | 6 |
| 7732 | 78823 | 14 |
| 7733 | 78839 | 16 |
Questions
What is the 7730th prime number?
78803.
Which prime number is 78803?
78803 is the 7730th prime number.
What is the sum of the first 7730 primes?
287,988,825.