What is the 6674th prime number?
The 6674th prime number is 66973. The next prime is 66977 (a gap of 4) and the one before is 66959.
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 6674th one is 66973.
- 2
66973 is prime because no prime up to ā66973 ā 258.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6674th prime is close to 6674 Ć ln(6674) ā 58771, and here it is 66973.
- 4
66973 has no twin: neither 66971 nor 66975 is prime.
Primes around the 6674th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6671 | 66947 | 4 |
| 6672 | 66949 | 2 |
| 6673 | 66959 | 10 |
| 6674 | 66973 | 14 |
| 6675 | 66977 | 4 |
| 6676 | 67003 | 26 |
| 6677 | 67021 | 18 |
Questions
What is the 6674th prime number?
66973.
Which prime number is 66973?
66973 is the 6674th prime number.
What is the sum of the first 6674 primes?
211,030,453.