Prime numbers between 5501 and 5,600
There are 13 prime numbers between 5501 and 5,600: 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591.
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 ā5600 ā 74.8 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 13 primes between 5501 and 5,600, with a total of 72,043.
- 3
The biggest gap between neighbouring primes in this range is 26, after 5531 (the next prime is 5557). There are 2 twin prime pairs (primes 2 apart): (5501, 5503), (5519, 5521).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 5,501 to 5,510 | 3 | 30% |
| 5,511 to 5,520 | 1 | 10% |
| 5,521 to 5,530 | 2 | 20% |
| 5,531 to 5,540 | 1 | 10% |
| 5,541 to 5,550 | 0 | 0% |
| 5,551 to 5,560 | 1 | 10% |
| 5,561 to 5,570 | 2 | 20% |
| 5,571 to 5,580 | 1 | 10% |
| 5,581 to 5,590 | 1 | 10% |
| 5,591 to 5,600 | 1 | 10% |
Questions
How many prime numbers are there between 5501 and 5,600?
13.
What is the biggest prime number below 5,600?
5591.
What is the first prime number after 5500?
5501.