What is the 6495th prime number?
The 6495th prime number is 65011. The next prime is 65027 (a gap of 16) and the one before is 65003.
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 6495th one is 65011.
- 2
65011 is prime because no prime up to ā65011 ā 254.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6495th prime is close to 6495 Ć ln(6495) ā 57018, and here it is 65011.
- 4
65011 has no twin: neither 65009 nor 65013 is prime.
Primes around the 6495th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6492 | 64969 | 18 |
| 6493 | 64997 | 28 |
| 6494 | 65003 | 6 |
| 6495 | 65011 | 8 |
| 6496 | 65027 | 16 |
| 6497 | 65029 | 2 |
| 6498 | 65033 | 4 |
Questions
What is the 6495th prime number?
65011.
Which prime number is 65011?
65011 is the 6495th prime number.
What is the sum of the first 6495 primes?
199,221,026.