What is the 6670th prime number?
The 6670th prime number is 66943. The next prime is 66947 (a gap of 4) and the one before is 66931.
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 6670th one is 66943.
- 2
66943 is prime because no prime up to ā66943 ā 258.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6670th prime is close to 6670 Ć ln(6670) ā 58732, and here it is 66943.
- 4
66943 has no twin: neither 66941 nor 66945 is prime.
Primes around the 6670th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6667 | 66919 | 30 |
| 6668 | 66923 | 4 |
| 6669 | 66931 | 8 |
| 6670 | 66943 | 12 |
| 6671 | 66947 | 4 |
| 6672 | 66949 | 2 |
| 6673 | 66959 | 10 |
Questions
What is the 6670th prime number?
66943.
Which prime number is 66943?
66943 is the 6670th prime number.
What is the sum of the first 6670 primes?
210,762,625.