What is the 6667th prime number?
The 6667th prime number is 66919. The next prime is 66923 (a gap of 4) and the one before is 66889.
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 6667th one is 66919.
- 2
66919 is prime because no prime up to ā66919 ā 258.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6667th prime is close to 6667 Ć ln(6667) ā 58702, and here it is 66919.
- 4
66919 has no twin: neither 66917 nor 66921 is prime.
Primes around the 6667th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6664 | 66877 | 14 |
| 6665 | 66883 | 6 |
| 6666 | 66889 | 6 |
| 6667 | 66919 | 30 |
| 6668 | 66923 | 4 |
| 6669 | 66931 | 8 |
| 6670 | 66943 | 12 |
Questions
What is the 6667th prime number?
66919.
Which prime number is 66919?
66919 is the 6667th prime number.
What is the sum of the first 6667 primes?
210,561,828.