What is the 5474th prime number?
The 5474th prime number is 53717. The next prime is 53719 (a gap of 2) and the one before is 53699.
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 5474th one is 53717.
- 2
53717 is prime because no prime up to ā53717 ā 231.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5474th prime is close to 5474 Ć ln(5474) ā 47119, and here it is 53717.
- 4
53717 is a twin prime: 53717 and 53719 are both prime.
Primes around the 5474th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5471 | 53681 | 24 |
| 5472 | 53693 | 12 |
| 5473 | 53699 | 6 |
| 5474 | 53717 | 18 |
| 5475 | 53719 | 2 |
| 5476 | 53731 | 12 |
| 5477 | 53759 | 28 |
Questions
What is the 5474th prime number?
53717.
Which prime number is 53717?
53717 is the 5474th prime number.
What is the sum of the first 5474 primes?
138,698,543.