What is the 5472nd prime number?
The 5472nd prime number is 53693. The next prime is 53699 (a gap of 6) and the one before is 53681.
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 5472nd one is 53693.
- 2
53693 is prime because no prime up to ā53693 ā 231.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5472nd prime is close to 5472 Ć ln(5472) ā 47100, and here it is 53693.
- 4
53693 has no twin: neither 53691 nor 53695 is prime.
Primes around the 5472nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5469 | 53653 | 14 |
| 5470 | 53657 | 4 |
| 5471 | 53681 | 24 |
| 5472 | 53693 | 12 |
| 5473 | 53699 | 6 |
| 5474 | 53717 | 18 |
| 5475 | 53719 | 2 |
Questions
What is the 5472nd prime number?
53693.
Which prime number is 53693?
53693 is the 5472nd prime number.
What is the sum of the first 5472 primes?
138,591,127.