What is the 5479th prime number?
The 5479th prime number is 53777. The next prime is 53783 (a gap of 6) and the one before is 53773.
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 5479th one is 53777.
- 2
53777 is prime because no prime up to ā53777 ā 231.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5479th prime is close to 5479 Ć ln(5479) ā 47167, and here it is 53777.
- 4
53777 has no twin: neither 53775 nor 53779 is prime.
Primes around the 5479th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5476 | 53731 | 12 |
| 5477 | 53759 | 28 |
| 5478 | 53773 | 14 |
| 5479 | 53777 | 4 |
| 5480 | 53783 | 6 |
| 5481 | 53791 | 8 |
| 5482 | 53813 | 22 |
Questions
What is the 5479th prime number?
53777.
Which prime number is 53777?
53777 is the 5479th prime number.
What is the sum of the first 5479 primes?
138,967,302.