What is the 5478th prime number?
The 5478th prime number is 53773. The next prime is 53777 (a gap of 4) and the one before is 53759.
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 5478th one is 53773.
- 2
53773 is prime because no prime up to ā53773 ā 231.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5478th prime is close to 5478 Ć ln(5478) ā 47157, and here it is 53773.
- 4
53773 has no twin: neither 53771 nor 53775 is prime.
Primes around the 5478th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5475 | 53719 | 2 |
| 5476 | 53731 | 12 |
| 5477 | 53759 | 28 |
| 5478 | 53773 | 14 |
| 5479 | 53777 | 4 |
| 5480 | 53783 | 6 |
| 5481 | 53791 | 8 |
Questions
What is the 5478th prime number?
53773.
Which prime number is 53773?
53773 is the 5478th prime number.
What is the sum of the first 5478 primes?
138,913,525.