What is the 7668th prime number?
The 7668th prime number is 78059. The next prime is 78079 (a gap of 20) and the one before is 78049.
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 7668th one is 78059.
- 2
78059 is prime because no prime up to ā78059 ā 279.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7668th prime is close to 7668 Ć ln(7668) ā 68589, and here it is 78059.
- 4
78059 has no twin: neither 78057 nor 78061 is prime.
Primes around the 7668th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7665 | 78031 | 14 |
| 7666 | 78041 | 10 |
| 7667 | 78049 | 8 |
| 7668 | 78059 | 10 |
| 7669 | 78079 | 20 |
| 7670 | 78101 | 22 |
| 7671 | 78121 | 20 |
Questions
What is the 7668th prime number?
78059.
Which prime number is 78059?
78059 is the 7668th prime number.
What is the sum of the first 7668 primes?
283,125,133.