Prime numbers between 1001 and 1,100
There are 16 prime numbers between 1001 and 1,100: 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097.
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 ā1100 ā 33.2 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 16 primes between 1001 and 1,100, with a total of 16,826.
- 3
The biggest gap between neighbouring primes in this range is 18, after 1069 (the next prime is 1087). There are 5 twin prime pairs (primes 2 apart): (1019, 1021), (1031, 1033), (1049, 1051), (1061, 1063), (1091, 1093).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 1,001 to 1,010 | 1 | 10% |
| 1,011 to 1,020 | 2 | 20% |
| 1,021 to 1,030 | 1 | 10% |
| 1,031 to 1,040 | 3 | 30% |
| 1,041 to 1,050 | 1 | 10% |
| 1,051 to 1,060 | 1 | 10% |
| 1,061 to 1,070 | 3 | 30% |
| 1,071 to 1,080 | 0 | 0% |
| 1,081 to 1,090 | 1 | 10% |
| 1,091 to 1,100 | 3 | 30% |
Questions
How many prime numbers are there between 1001 and 1,100?
16.
What is the biggest prime number below 1,100?
1097.
What is the first prime number after 1000?
1009.