Prime numbers between 4401 and 4,500
There are 11 prime numbers between 4401 and 4,500: 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493.
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 ā4500 ā 67.1 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 11 primes between 4401 and 4,500, with a total of 48,969.
- 3
The biggest gap between neighbouring primes in this range is 18, after 4423 (the next prime is 4441). There are 2 twin prime pairs (primes 2 apart): (4421, 4423), (4481, 4483).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 4,401 to 4,410 | 1 | 10% |
| 4,411 to 4,420 | 0 | 0% |
| 4,421 to 4,430 | 2 | 20% |
| 4,431 to 4,440 | 0 | 0% |
| 4,441 to 4,450 | 2 | 20% |
| 4,451 to 4,460 | 2 | 20% |
| 4,461 to 4,470 | 1 | 10% |
| 4,471 to 4,480 | 0 | 0% |
| 4,481 to 4,490 | 2 | 20% |
| 4,491 to 4,500 | 1 | 10% |
Questions
How many prime numbers are there between 4401 and 4,500?
11.
What is the biggest prime number below 4,500?
4493.
What is the first prime number after 4400?
4409.