What is the 6701st prime number?
The 6701st prime number is 67247. The next prime is 67261 (a gap of 14) and the one before is 67231.
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 6701st one is 67247.
- 2
67247 is prime because no prime up to ā67247 ā 259.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6701st prime is close to 6701 Ć ln(6701) ā 59036, and here it is 67247.
- 4
67247 has no twin: neither 67245 nor 67249 is prime.
Primes around the 6701st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6698 | 67217 | 4 |
| 6699 | 67219 | 2 |
| 6700 | 67231 | 12 |
| 6701 | 67247 | 16 |
| 6702 | 67261 | 14 |
| 6703 | 67271 | 10 |
| 6704 | 67273 | 2 |
Questions
What is the 6701st prime number?
67247.
Which prime number is 67247?
67247 is the 6701st prime number.
What is the sum of the first 6701 primes?
212,842,856.