What is the 6666th prime number?
The 6666th prime number is 66889. The next prime is 66919 (a gap of 30) and the one before is 66883.
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 6666th one is 66889.
- 2
66889 is prime because no prime up to ā66889 ā 258.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6666th prime is close to 6666 Ć ln(6666) ā 58693, and here it is 66889.
- 4
66889 has no twin: neither 66887 nor 66891 is prime.
Primes around the 6666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6663 | 66863 | 10 |
| 6664 | 66877 | 14 |
| 6665 | 66883 | 6 |
| 6666 | 66889 | 6 |
| 6667 | 66919 | 30 |
| 6668 | 66923 | 4 |
| 6669 | 66931 | 8 |
Questions
What is the 6666th prime number?
66889.
Which prime number is 66889?
66889 is the 6666th prime number.
What is the sum of the first 6666 primes?
210,494,909.