Prime numbers between 5401 and 5,500
There are 13 prime numbers between 5401 and 5,500: 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483.
How to work it out
- 1
A prime has exactly two factors, 1 and itself. To list them, cross out multiples of 2, then 3, then 5, and so on up to ā5500 ā 74.2 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 13 primes between 5401 and 5,500, with a total of 70,767.
- 3
The biggest gap between neighbouring primes in this range is 22, after 5449 (the next prime is 5471). There are 3 twin prime pairs (primes 2 apart): (5417, 5419), (5441, 5443), (5477, 5479).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 5,401 to 5,410 | 1 | 10% |
| 5,411 to 5,420 | 3 | 30% |
| 5,421 to 5,430 | 0 | 0% |
| 5,431 to 5,440 | 2 | 20% |
| 5,441 to 5,450 | 3 | 30% |
| 5,451 to 5,460 | 0 | 0% |
| 5,461 to 5,470 | 0 | 0% |
| 5,471 to 5,480 | 3 | 30% |
| 5,481 to 5,490 | 1 | 10% |
| 5,491 to 5,500 | 0 | 0% |
Questions
How many prime numbers are there between 5401 and 5,500?
13.
What is the biggest prime number below 5,500?
5483.
What is the first prime number after 5400?
5407.