What is the 7745th prime number?
The 7745th prime number is 78979. The next prime is 78989 (a gap of 10) and the one before is 78977.
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 7745th one is 78979.
- 2
78979 is prime because no prime up to ā78979 ā 281.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7745th prime is close to 7745 Ć ln(7745) ā 69355, and here it is 78979.
- 4
78979 is a twin prime: 78977 and 78979 are both prime.
Primes around the 7745th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7742 | 78929 | 10 |
| 7743 | 78941 | 12 |
| 7744 | 78977 | 36 |
| 7745 | 78979 | 2 |
| 7746 | 78989 | 10 |
| 7747 | 79031 | 42 |
| 7748 | 79039 | 8 |
Questions
What is the 7745th prime number?
78979.
Which prime number is 78979?
78979 is the 7745th prime number.
What is the sum of the first 7745 primes?
289,172,198.