What is the 5480th prime number?
The 5480th prime number is 53783. The next prime is 53791 (a gap of 8) and the one before is 53777.
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 5480th one is 53783.
- 2
53783 is prime because no prime up to ā53783 ā 231.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5480th prime is close to 5480 Ć ln(5480) ā 47177, and here it is 53783.
- 4
53783 has no twin: neither 53781 nor 53785 is prime.
Primes around the 5480th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5477 | 53759 | 28 |
| 5478 | 53773 | 14 |
| 5479 | 53777 | 4 |
| 5480 | 53783 | 6 |
| 5481 | 53791 | 8 |
| 5482 | 53813 | 22 |
| 5483 | 53819 | 6 |
Questions
What is the 5480th prime number?
53783.
Which prime number is 53783?
53783 is the 5480th prime number.
What is the sum of the first 5480 primes?
139,021,085.