Prime numbers between 7201 and 7,300
There are 11 prime numbers between 7201 and 7,300: 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297.
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 ā7300 ā 85.4 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 11 primes between 7201 and 7,300, with a total of 79,639.
- 3
The biggest gap between neighbouring primes in this range is 30, after 7253 (the next prime is 7283). There are 1 twin prime pairs (primes 2 apart): (7211, 7213).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 7,201 to 7,210 | 1 | 10% |
| 7,211 to 7,220 | 3 | 30% |
| 7,221 to 7,230 | 1 | 10% |
| 7,231 to 7,240 | 1 | 10% |
| 7,241 to 7,250 | 2 | 20% |
| 7,251 to 7,260 | 1 | 10% |
| 7,261 to 7,270 | 0 | 0% |
| 7,271 to 7,280 | 0 | 0% |
| 7,281 to 7,290 | 1 | 10% |
| 7,291 to 7,300 | 1 | 10% |
Questions
How many prime numbers are there between 7201 and 7,300?
11.
What is the biggest prime number below 7,300?
7297.
What is the first prime number after 7200?
7207.