What is the 6565th prime number?
The 6565th prime number is 65713. The next prime is 65717 (a gap of 4) and the one before is 65707.
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 6565th one is 65713.
- 2
65713 is prime because no prime up to ā65713 ā 256.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6565th prime is close to 6565 Ć ln(6565) ā 57703, and here it is 65713.
- 4
65713 has no twin: neither 65711 nor 65715 is prime.
Primes around the 6565th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6562 | 65699 | 12 |
| 6563 | 65701 | 2 |
| 6564 | 65707 | 6 |
| 6565 | 65713 | 6 |
| 6566 | 65717 | 4 |
| 6567 | 65719 | 2 |
| 6568 | 65729 | 10 |
Questions
What is the 6565th prime number?
65713.
Which prime number is 65713?
65713 is the 6565th prime number.
What is the sum of the first 6565 primes?
203,797,350.