What is the 7666th prime number?
The 7666th prime number is 78041. The next prime is 78049 (a gap of 8) and the one before is 78031.
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 7666th one is 78041.
- 2
78041 is prime because no prime up to ā78041 ā 279.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7666th prime is close to 7666 Ć ln(7666) ā 68569, and here it is 78041.
- 4
78041 has no twin: neither 78039 nor 78043 is prime.
Primes around the 7666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7663 | 78007 | 8 |
| 7664 | 78017 | 10 |
| 7665 | 78031 | 14 |
| 7666 | 78041 | 10 |
| 7667 | 78049 | 8 |
| 7668 | 78059 | 10 |
| 7669 | 78079 | 20 |
Questions
What is the 7666th prime number?
78041.
Which prime number is 78041?
78041 is the 7666th prime number.
What is the sum of the first 7666 primes?
282,969,025.