What is the 6509th prime number?
The 6509th prime number is 65141. The next prime is 65147 (a gap of 6) and the one before is 65129.
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 6509th one is 65141.
- 2
65141 is prime because no prime up to ā65141 ā 255.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6509th prime is close to 6509 Ć ln(6509) ā 57155, and here it is 65141.
- 4
65141 has no twin: neither 65139 nor 65143 is prime.
Primes around the 6509th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6506 | 65119 | 8 |
| 6507 | 65123 | 4 |
| 6508 | 65129 | 6 |
| 6509 | 65141 | 12 |
| 6510 | 65147 | 6 |
| 6511 | 65167 | 20 |
| 6512 | 65171 | 4 |
Questions
What is the 6509th prime number?
65141.
Which prime number is 65141?
65141 is the 6509th prime number.
What is the sum of the first 6509 primes?
200,132,214.