Prime numbers between 6201 and 6,300
There are 13 prime numbers between 6201 and 6,300: 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299.
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 ā6300 ā 79.4 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 13 primes between 6201 and 6,300, with a total of 81,251.
- 3
The biggest gap between neighbouring primes in this range is 18, after 6229 (the next prime is 6247). There are 1 twin prime pairs (primes 2 apart): (6269, 6271).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 6,201 to 6,210 | 1 | 10% |
| 6,211 to 6,220 | 2 | 20% |
| 6,221 to 6,230 | 2 | 20% |
| 6,231 to 6,240 | 0 | 0% |
| 6,241 to 6,250 | 1 | 10% |
| 6,251 to 6,260 | 1 | 10% |
| 6,261 to 6,270 | 2 | 20% |
| 6,271 to 6,280 | 2 | 20% |
| 6,281 to 6,290 | 1 | 10% |
| 6,291 to 6,300 | 1 | 10% |
Questions
How many prime numbers are there between 6201 and 6,300?
13.
What is the biggest prime number below 6,300?
6299.
What is the first prime number after 6200?
6203.