What is the 5476th prime number?
The 5476th prime number is 53731. The next prime is 53759 (a gap of 28) and the one before is 53719.
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 5476th one is 53731.
- 2
53731 is prime because no prime up to ā53731 ā 231.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5476th prime is close to 5476 Ć ln(5476) ā 47138, and here it is 53731.
- 4
53731 has no twin: neither 53729 nor 53733 is prime.
Primes around the 5476th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5473 | 53699 | 6 |
| 5474 | 53717 | 18 |
| 5475 | 53719 | 2 |
| 5476 | 53731 | 12 |
| 5477 | 53759 | 28 |
| 5478 | 53773 | 14 |
| 5479 | 53777 | 4 |
Questions
What is the 5476th prime number?
53731.
Which prime number is 53731?
53731 is the 5476th prime number.
What is the sum of the first 5476 primes?
138,805,993.