What is the 6500th prime number?
The 6500th prime number is 65063. The next prime is 65071 (a gap of 8) and the one before is 65053.
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 6500th one is 65063.
- 2
65063 is prime because no prime up to ā65063 ā 255.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6500th prime is close to 6500 Ć ln(6500) ā 57067, and here it is 65063.
- 4
65063 has no twin: neither 65061 nor 65065 is prime.
Primes around the 6500th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6497 | 65029 | 2 |
| 6498 | 65033 | 4 |
| 6499 | 65053 | 20 |
| 6500 | 65063 | 10 |
| 6501 | 65071 | 8 |
| 6502 | 65089 | 18 |
| 6503 | 65099 | 10 |
Questions
What is the 6500th prime number?
65063.
Which prime number is 65063?
65063 is the 6500th prime number.
What is the sum of the first 6500 primes?
199,546,231.