What is the 6498th prime number?
The 6498th prime number is 65033. The next prime is 65053 (a gap of 20) and the one before is 65029.
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 6498th one is 65033.
- 2
65033 is prime because no prime up to ā65033 ā 255.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6498th prime is close to 6498 Ć ln(6498) ā 57048, and here it is 65033.
- 4
65033 has no twin: neither 65031 nor 65035 is prime.
Primes around the 6498th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6495 | 65011 | 8 |
| 6496 | 65027 | 16 |
| 6497 | 65029 | 2 |
| 6498 | 65033 | 4 |
| 6499 | 65053 | 20 |
| 6500 | 65063 | 10 |
| 6501 | 65071 | 8 |
Questions
What is the 6498th prime number?
65033.
Which prime number is 65033?
65033 is the 6498th prime number.
What is the sum of the first 6498 primes?
199,416,115.