Prime numbers between 501 and 600
There are 14 prime numbers between 501 and 600: 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599.
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 ā600 ā 24.5 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 14 primes between 501 and 600, with a total of 7,760.
- 3
The biggest gap between neighbouring primes in this range is 18, after 523 (the next prime is 541). There are 2 twin prime pairs (primes 2 apart): (521, 523), (569, 571).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 501 to 510 | 2 | 20% |
| 511 to 520 | 0 | 0% |
| 521 to 530 | 2 | 20% |
| 531 to 540 | 0 | 0% |
| 541 to 550 | 2 | 20% |
| 551 to 560 | 1 | 10% |
| 561 to 570 | 2 | 20% |
| 571 to 580 | 2 | 20% |
| 581 to 590 | 1 | 10% |
| 591 to 600 | 2 | 20% |
Questions
How many prime numbers are there between 501 and 600?
14.
What is the biggest prime number below 600?
599.
What is the first prime number after 500?
503.