What is the 6677th prime number?
The 6677th prime number is 67021. The next prime is 67033 (a gap of 12) and the one before is 67003.
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 6677th one is 67021.
- 2
67021 is prime because no prime up to ā67021 ā 258.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6677th prime is close to 6677 Ć ln(6677) ā 58800, and here it is 67021.
- 4
67021 has no twin: neither 67019 nor 67023 is prime.
Primes around the 6677th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6674 | 66973 | 14 |
| 6675 | 66977 | 4 |
| 6676 | 67003 | 26 |
| 6677 | 67021 | 18 |
| 6678 | 67033 | 12 |
| 6679 | 67043 | 10 |
| 6680 | 67049 | 6 |
Questions
What is the 6677th prime number?
67021.
Which prime number is 67021?
67021 is the 6677th prime number.
What is the sum of the first 6677 primes?
211,231,454.