Prime numbers between 7301 and 7,400
There are 9 prime numbers between 7301 and 7,400: 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393.
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 ā7400 ā 86.0 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 9 primes between 7301 and 7,400, with a total of 66,063.
- 3
The biggest gap between neighbouring primes in this range is 24, after 7369 (the next prime is 7393). There are 3 twin prime pairs (primes 2 apart): (7307, 7309), (7331, 7333), (7349, 7351).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 7,301 to 7,310 | 2 | 20% |
| 7,311 to 7,320 | 0 | 0% |
| 7,321 to 7,330 | 1 | 10% |
| 7,331 to 7,340 | 2 | 20% |
| 7,341 to 7,350 | 1 | 10% |
| 7,351 to 7,360 | 1 | 10% |
| 7,361 to 7,370 | 1 | 10% |
| 7,371 to 7,380 | 0 | 0% |
| 7,381 to 7,390 | 0 | 0% |
| 7,391 to 7,400 | 1 | 10% |
Questions
How many prime numbers are there between 7301 and 7,400?
9.
What is the biggest prime number below 7,400?
7393.
What is the first prime number after 7300?
7307.