What is the 5475th prime number?
The 5475th prime number is 53719. The next prime is 53731 (a gap of 12) and the one before is 53717.
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 5475th one is 53719.
- 2
53719 is prime because no prime up to ā53719 ā 231.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5475th prime is close to 5475 Ć ln(5475) ā 47129, and here it is 53719.
- 4
53719 is a twin prime: 53717 and 53719 are both prime.
Primes around the 5475th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5472 | 53693 | 12 |
| 5473 | 53699 | 6 |
| 5474 | 53717 | 18 |
| 5475 | 53719 | 2 |
| 5476 | 53731 | 12 |
| 5477 | 53759 | 28 |
| 5478 | 53773 | 14 |
Questions
What is the 5475th prime number?
53719.
Which prime number is 53719?
53719 is the 5475th prime number.
What is the sum of the first 5475 primes?
138,752,262.