What is the 6513th prime number?
The 6513th prime number is 65173. The next prime is 65179 (a gap of 6) and the one before is 65171.
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 6513th one is 65173.
- 2
65173 is prime because no prime up to ā65173 ā 255.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6513th prime is close to 6513 Ć ln(6513) ā 57194, and here it is 65173.
- 4
65173 is a twin prime: 65171 and 65173 are both prime.
Primes around the 6513th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6510 | 65147 | 6 |
| 6511 | 65167 | 20 |
| 6512 | 65171 | 4 |
| 6513 | 65173 | 2 |
| 6514 | 65179 | 6 |
| 6515 | 65183 | 4 |
| 6516 | 65203 | 20 |
Questions
What is the 6513th prime number?
65173.
Which prime number is 65173?
65173 is the 6513th prime number.
What is the sum of the first 6513 primes?
200,392,872.