Prime numbers between 7001 and 7,100
There are 9 prime numbers between 7001 and 7,100: 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079.
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 ā7100 ā 84.3 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 9 primes between 7001 and 7,100, with a total of 63,347.
- 3
The biggest gap between neighbouring primes in this range is 14, after 7043 (the next prime is 7057). There are no twin primes here.
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 7,001 to 7,010 | 1 | 10% |
| 7,011 to 7,020 | 2 | 20% |
| 7,021 to 7,030 | 1 | 10% |
| 7,031 to 7,040 | 1 | 10% |
| 7,041 to 7,050 | 1 | 10% |
| 7,051 to 7,060 | 1 | 10% |
| 7,061 to 7,070 | 1 | 10% |
| 7,071 to 7,080 | 1 | 10% |
| 7,081 to 7,090 | 0 | 0% |
| 7,091 to 7,100 | 0 | 0% |
Questions
How many prime numbers are there between 7001 and 7,100?
9.
What is the biggest prime number below 7,100?
7079.
What is the first prime number after 7000?
7001.