Prime numbers between 1501 and 1,600
There are 12 prime numbers between 1501 and 1,600: 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597.
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 ā1600 ā 40.0 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 12 primes between 1501 and 1,600, with a total of 18,666.
- 3
The biggest gap between neighbouring primes in this range is 14, after 1583 (the next prime is 1597). There are no twin primes here.
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 1,501 to 1,510 | 0 | 0% |
| 1,511 to 1,520 | 1 | 10% |
| 1,521 to 1,530 | 1 | 10% |
| 1,531 to 1,540 | 1 | 10% |
| 1,541 to 1,550 | 2 | 20% |
| 1,551 to 1,560 | 2 | 20% |
| 1,561 to 1,570 | 1 | 10% |
| 1,571 to 1,580 | 2 | 20% |
| 1,581 to 1,590 | 1 | 10% |
| 1,591 to 1,600 | 1 | 10% |
Questions
How many prime numbers are there between 1501 and 1,600?
12.
What is the biggest prime number below 1,600?
1597.
What is the first prime number after 1500?
1511.