Prime numbers between 5201 and 5,300
There are 10 prime numbers between 5201 and 5,300: 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297.
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 ā5300 ā 72.8 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 10 primes between 5201 and 5,300, with a total of 52,528.
- 3
The biggest gap between neighbouring primes in this range is 24, after 5237 (the next prime is 5261). There are 2 twin prime pairs (primes 2 apart): (5231, 5233), (5279, 5281).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 5,201 to 5,210 | 1 | 10% |
| 5,211 to 5,220 | 0 | 0% |
| 5,221 to 5,230 | 1 | 10% |
| 5,231 to 5,240 | 3 | 30% |
| 5,241 to 5,250 | 0 | 0% |
| 5,251 to 5,260 | 0 | 0% |
| 5,261 to 5,270 | 1 | 10% |
| 5,271 to 5,280 | 2 | 20% |
| 5,281 to 5,290 | 1 | 10% |
| 5,291 to 5,300 | 1 | 10% |
Questions
How many prime numbers are there between 5201 and 5,300?
10.
What is the biggest prime number below 5,300?
5297.
What is the first prime number after 5200?
5209.