What is the 7669th prime number?
The 7669th prime number is 78079. The next prime is 78101 (a gap of 22) and the one before is 78059.
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 7669th one is 78079.
- 2
78079 is prime because no prime up to ā78079 ā 279.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7669th prime is close to 7669 Ć ln(7669) ā 68599, and here it is 78079.
- 4
78079 has no twin: neither 78077 nor 78081 is prime.
Primes around the 7669th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7666 | 78041 | 10 |
| 7667 | 78049 | 8 |
| 7668 | 78059 | 10 |
| 7669 | 78079 | 20 |
| 7670 | 78101 | 22 |
| 7671 | 78121 | 20 |
| 7672 | 78137 | 16 |
Questions
What is the 7669th prime number?
78079.
Which prime number is 78079?
78079 is the 7669th prime number.
What is the sum of the first 7669 primes?
283,203,212.