What is the 5477th prime number?
The 5477th prime number is 53759. The next prime is 53773 (a gap of 14) and the one before is 53731.
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 5477th one is 53759.
- 2
53759 is prime because no prime up to ā53759 ā 231.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5477th prime is close to 5477 Ć ln(5477) ā 47148, and here it is 53759.
- 4
53759 has no twin: neither 53757 nor 53761 is prime.
Primes around the 5477th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5474 | 53717 | 18 |
| 5475 | 53719 | 2 |
| 5476 | 53731 | 12 |
| 5477 | 53759 | 28 |
| 5478 | 53773 | 14 |
| 5479 | 53777 | 4 |
| 5480 | 53783 | 6 |
Questions
What is the 5477th prime number?
53759.
Which prime number is 53759?
53759 is the 5477th prime number.
What is the sum of the first 5477 primes?
138,859,752.