What is the 5467th prime number?
The 5467th prime number is 53633. The next prime is 53639 (a gap of 6) and the one before is 53629.
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 5467th one is 53633.
- 2
53633 is prime because no prime up to ā53633 ā 231.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5467th prime is close to 5467 Ć ln(5467) ā 47052, and here it is 53633.
- 4
53633 has no twin: neither 53631 nor 53635 is prime.
Primes around the 5467th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5464 | 53617 | 6 |
| 5465 | 53623 | 6 |
| 5466 | 53629 | 6 |
| 5467 | 53633 | 4 |
| 5468 | 53639 | 6 |
| 5469 | 53653 | 14 |
| 5470 | 53657 | 4 |
Questions
What is the 5467th prime number?
53633.
Which prime number is 53633?
53633 is the 5467th prime number.
What is the sum of the first 5467 primes?
138,322,804.