What is the 6507th prime number?
The 6507th prime number is 65123. The next prime is 65129 (a gap of 6) and the one before is 65119.
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 6507th one is 65123.
- 2
65123 is prime because no prime up to ā65123 ā 255.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6507th prime is close to 6507 Ć ln(6507) ā 57136, and here it is 65123.
- 4
65123 has no twin: neither 65121 nor 65125 is prime.
Primes around the 6507th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6504 | 65101 | 2 |
| 6505 | 65111 | 10 |
| 6506 | 65119 | 8 |
| 6507 | 65123 | 4 |
| 6508 | 65129 | 6 |
| 6509 | 65141 | 12 |
| 6510 | 65147 | 6 |
Questions
What is the 6507th prime number?
65123.
Which prime number is 65123?
65123 is the 6507th prime number.
What is the sum of the first 6507 primes?
200,001,944.