Prime numbers between 6501 and 6,600
There are 11 prime numbers between 6501 and 6,600: 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599.
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 ā6600 ā 81.2 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 11 primes between 6501 and 6,600, with a total of 72,161.
- 3
The biggest gap between neighbouring primes in this range is 18, after 6529 (the next prime is 6547). There are 2 twin prime pairs (primes 2 apart): (6551, 6553), (6569, 6571).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 6,501 to 6,510 | 0 | 0% |
| 6,511 to 6,520 | 0 | 0% |
| 6,521 to 6,530 | 2 | 20% |
| 6,531 to 6,540 | 0 | 0% |
| 6,541 to 6,550 | 1 | 10% |
| 6,551 to 6,560 | 2 | 20% |
| 6,561 to 6,570 | 2 | 20% |
| 6,571 to 6,580 | 2 | 20% |
| 6,581 to 6,590 | 1 | 10% |
| 6,591 to 6,600 | 1 | 10% |
Questions
How many prime numbers are there between 6501 and 6,600?
11.
What is the biggest prime number below 6,600?
6599.
What is the first prime number after 6500?
6521.