What is the 4565th prime number?
The 4565th prime number is 43853. The next prime is 43867 (a gap of 14) and the one before is 43801.
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 4565th one is 43853.
- 2
43853 is prime because no prime up to ā43853 ā 209.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4565th prime is close to 4565 Ć ln(4565) ā 38465, and here it is 43853.
- 4
43853 has no twin: neither 43851 nor 43855 is prime.
Primes around the 4565th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4562 | 43789 | 2 |
| 4563 | 43793 | 4 |
| 4564 | 43801 | 8 |
| 4565 | 43853 | 52 |
| 4566 | 43867 | 14 |
| 4567 | 43889 | 22 |
| 4568 | 43891 | 2 |
Questions
What is the 4565th prime number?
43853.
Which prime number is 43853?
43853 is the 4565th prime number.
What is the sum of the first 4565 primes?
94,346,136.