Prime numbers between 7101 and 7,200
There are 10 prime numbers between 7101 and 7,200: 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193.
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 ā7200 ā 84.9 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 10 primes between 7101 and 7,200, with a total of 71,456.
- 3
The biggest gap between neighbouring primes in this range is 22, after 7129 (the next prime is 7151). There are 1 twin prime pairs (primes 2 apart): (7127, 7129).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 7,101 to 7,110 | 2 | 20% |
| 7,111 to 7,120 | 0 | 0% |
| 7,121 to 7,130 | 3 | 30% |
| 7,131 to 7,140 | 0 | 0% |
| 7,141 to 7,150 | 0 | 0% |
| 7,151 to 7,160 | 2 | 20% |
| 7,161 to 7,170 | 0 | 0% |
| 7,171 to 7,180 | 1 | 10% |
| 7,181 to 7,190 | 1 | 10% |
| 7,191 to 7,200 | 1 | 10% |
Questions
How many prime numbers are there between 7101 and 7,200?
10.
What is the biggest prime number below 7,200?
7193.
What is the first prime number after 7100?
7103.