What is the 5469th prime number?
The 5469th prime number is 53653. The next prime is 53657 (a gap of 4) and the one before is 53639.
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 5469th one is 53653.
- 2
53653 is prime because no prime up to ā53653 ā 231.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5469th prime is close to 5469 Ć ln(5469) ā 47071, and here it is 53653.
- 4
53653 has no twin: neither 53651 nor 53655 is prime.
Primes around the 5469th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5466 | 53629 | 6 |
| 5467 | 53633 | 4 |
| 5468 | 53639 | 6 |
| 5469 | 53653 | 14 |
| 5470 | 53657 | 4 |
| 5471 | 53681 | 24 |
| 5472 | 53693 | 12 |
Questions
What is the 5469th prime number?
53653.
Which prime number is 53653?
53653 is the 5469th prime number.
What is the sum of the first 5469 primes?
138,430,096.