What is the 6511th prime number?
The 6511th prime number is 65167. The next prime is 65171 (a gap of 4) and the one before is 65147.
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 6511th one is 65167.
- 2
65167 is prime because no prime up to ā65167 ā 255.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6511th prime is close to 6511 Ć ln(6511) ā 57175, and here it is 65167.
- 4
65167 has no twin: neither 65165 nor 65169 is prime.
Primes around the 6511th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6508 | 65129 | 6 |
| 6509 | 65141 | 12 |
| 6510 | 65147 | 6 |
| 6511 | 65167 | 20 |
| 6512 | 65171 | 4 |
| 6513 | 65173 | 2 |
| 6514 | 65179 | 6 |
Questions
What is the 6511th prime number?
65167.
Which prime number is 65167?
65167 is the 6511th prime number.
What is the sum of the first 6511 primes?
200,262,528.