Prime numbers between 4101 and 4,200
There are 9 prime numbers between 4101 and 4,200: 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177.
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 ā4200 ā 64.8 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 9 primes between 4101 and 4,200, with a total of 37,285.
- 3
The biggest gap between neighbouring primes in this range is 18, after 4159 (the next prime is 4177). There are 2 twin prime pairs (primes 2 apart): (4127, 4129), (4157, 4159).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 4,101 to 4,110 | 0 | 0% |
| 4,111 to 4,120 | 1 | 10% |
| 4,121 to 4,130 | 2 | 20% |
| 4,131 to 4,140 | 2 | 20% |
| 4,141 to 4,150 | 0 | 0% |
| 4,151 to 4,160 | 3 | 30% |
| 4,161 to 4,170 | 0 | 0% |
| 4,171 to 4,180 | 1 | 10% |
| 4,181 to 4,190 | 0 | 0% |
| 4,191 to 4,200 | 0 | 0% |
Questions
How many prime numbers are there between 4101 and 4,200?
9.
What is the biggest prime number below 4,200?
4177.
What is the first prime number after 4100?
4111.