What is the 6678th prime number?
The 6678th prime number is 67033. The next prime is 67043 (a gap of 10) and the one before is 67021.
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 6678th one is 67033.
- 2
67033 is prime because no prime up to ā67033 ā 258.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6678th prime is close to 6678 Ć ln(6678) ā 58810, and here it is 67033.
- 4
67033 has no twin: neither 67031 nor 67035 is prime.
Primes around the 6678th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6675 | 66977 | 4 |
| 6676 | 67003 | 26 |
| 6677 | 67021 | 18 |
| 6678 | 67033 | 12 |
| 6679 | 67043 | 10 |
| 6680 | 67049 | 6 |
| 6681 | 67057 | 8 |
Questions
What is the 6678th prime number?
67033.
Which prime number is 67033?
67033 is the 6678th prime number.
What is the sum of the first 6678 primes?
211,298,487.