What is the 5473rd prime number?
The 5473rd prime number is 53699. The next prime is 53717 (a gap of 18) and the one before is 53693.
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 5473rd one is 53699.
- 2
53699 is prime because no prime up to ā53699 ā 231.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5473rd prime is close to 5473 Ć ln(5473) ā 47109, and here it is 53699.
- 4
53699 has no twin: neither 53697 nor 53701 is prime.
Primes around the 5473rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5470 | 53657 | 4 |
| 5471 | 53681 | 24 |
| 5472 | 53693 | 12 |
| 5473 | 53699 | 6 |
| 5474 | 53717 | 18 |
| 5475 | 53719 | 2 |
| 5476 | 53731 | 12 |
Questions
What is the 5473rd prime number?
53699.
Which prime number is 53699?
53699 is the 5473rd prime number.
What is the sum of the first 5473 primes?
138,644,826.