What is the 6508th prime number?
The 6508th prime number is 65129. The next prime is 65141 (a gap of 12) and the one before is 65123.
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 6508th one is 65129.
- 2
65129 is prime because no prime up to ā65129 ā 255.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6508th prime is close to 6508 Ć ln(6508) ā 57145, and here it is 65129.
- 4
65129 has no twin: neither 65127 nor 65131 is prime.
Primes around the 6508th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6505 | 65111 | 10 |
| 6506 | 65119 | 8 |
| 6507 | 65123 | 4 |
| 6508 | 65129 | 6 |
| 6509 | 65141 | 12 |
| 6510 | 65147 | 6 |
| 6511 | 65167 | 20 |
Questions
What is the 6508th prime number?
65129.
Which prime number is 65129?
65129 is the 6508th prime number.
What is the sum of the first 6508 primes?
200,067,073.