What is the 6501st prime number?
The 6501st prime number is 65071. The next prime is 65089 (a gap of 18) and the one before is 65063.
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 6501st one is 65071.
- 2
65071 is prime because no prime up to ā65071 ā 255.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6501st prime is close to 6501 Ć ln(6501) ā 57077, and here it is 65071.
- 4
65071 has no twin: neither 65069 nor 65073 is prime.
Primes around the 6501st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6498 | 65033 | 4 |
| 6499 | 65053 | 20 |
| 6500 | 65063 | 10 |
| 6501 | 65071 | 8 |
| 6502 | 65089 | 18 |
| 6503 | 65099 | 10 |
| 6504 | 65101 | 2 |
Questions
What is the 6501st prime number?
65071.
Which prime number is 65071?
65071 is the 6501st prime number.
What is the sum of the first 6501 primes?
199,611,302.