What is the 7722nd prime number?
The 7722nd prime number is 78713. The next prime is 78721 (a gap of 8) and the one before is 78707.
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 7722nd one is 78713.
- 2
78713 is prime because no prime up to ā78713 ā 280.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7722nd prime is close to 7722 Ć ln(7722) ā 69126, and here it is 78713.
- 4
78713 has no twin: neither 78711 nor 78715 is prime.
Primes around the 7722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7719 | 78691 | 38 |
| 7720 | 78697 | 6 |
| 7721 | 78707 | 10 |
| 7722 | 78713 | 6 |
| 7723 | 78721 | 8 |
| 7724 | 78737 | 16 |
| 7725 | 78779 | 42 |
Questions
What is the 7722nd prime number?
78713.
Which prime number is 78713?
78713 is the 7722nd prime number.
What is the sum of the first 7722 primes?
287,358,629.