What is the 6512th prime number?
The 6512th prime number is 65171. The next prime is 65173 (a gap of 2) and the one before is 65167.
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 6512th one is 65171.
- 2
65171 is prime because no prime up to ā65171 ā 255.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6512th prime is close to 6512 Ć ln(6512) ā 57184, and here it is 65171.
- 4
65171 is a twin prime: 65171 and 65173 are both prime.
Primes around the 6512th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6509 | 65141 | 12 |
| 6510 | 65147 | 6 |
| 6511 | 65167 | 20 |
| 6512 | 65171 | 4 |
| 6513 | 65173 | 2 |
| 6514 | 65179 | 6 |
| 6515 | 65183 | 4 |
Questions
What is the 6512th prime number?
65171.
Which prime number is 65171?
65171 is the 6512th prime number.
What is the sum of the first 6512 primes?
200,327,699.