What is the 6700th prime number?
The 6700th prime number is 67231. The next prime is 67247 (a gap of 16) and the one before is 67219.
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 6700th one is 67231.
- 2
67231 is prime because no prime up to ā67231 ā 259.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6700th prime is close to 6700 Ć ln(6700) ā 59026, and here it is 67231.
- 4
67231 has no twin: neither 67229 nor 67233 is prime.
Primes around the 6700th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6697 | 67213 | 2 |
| 6698 | 67217 | 4 |
| 6699 | 67219 | 2 |
| 6700 | 67231 | 12 |
| 6701 | 67247 | 16 |
| 6702 | 67261 | 14 |
| 6703 | 67271 | 10 |
Questions
What is the 6700th prime number?
67231.
Which prime number is 67231?
67231 is the 6700th prime number.
What is the sum of the first 6700 primes?
212,775,609.