What is the 6702nd prime number?
The 6702nd prime number is 67261. The next prime is 67271 (a gap of 10) and the one before is 67247.
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 6702nd one is 67261.
- 2
67261 is prime because no prime up to ā67261 ā 259.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6702nd prime is close to 6702 Ć ln(6702) ā 59046, and here it is 67261.
- 4
67261 has no twin: neither 67259 nor 67263 is prime.
Primes around the 6702nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6699 | 67219 | 2 |
| 6700 | 67231 | 12 |
| 6701 | 67247 | 16 |
| 6702 | 67261 | 14 |
| 6703 | 67271 | 10 |
| 6704 | 67273 | 2 |
| 6705 | 67289 | 16 |
Questions
What is the 6702nd prime number?
67261.
Which prime number is 67261?
67261 is the 6702nd prime number.
What is the sum of the first 6702 primes?
212,910,117.