Prime numbers between 6101 and 6,200
There are 11 prime numbers between 6101 and 6,200: 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199.
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 ā6200 ā 78.7 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 11 primes between 6101 and 6,200, with a total of 67,625.
- 3
The biggest gap between neighbouring primes in this range is 24, after 6173 (the next prime is 6197). There are 2 twin prime pairs (primes 2 apart): (6131, 6133), (6197, 6199).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 6,101 to 6,110 | 1 | 10% |
| 6,111 to 6,120 | 1 | 10% |
| 6,121 to 6,130 | 1 | 10% |
| 6,131 to 6,140 | 2 | 20% |
| 6,141 to 6,150 | 1 | 10% |
| 6,151 to 6,160 | 1 | 10% |
| 6,161 to 6,170 | 1 | 10% |
| 6,171 to 6,180 | 1 | 10% |
| 6,181 to 6,190 | 0 | 0% |
| 6,191 to 6,200 | 2 | 20% |
Questions
How many prime numbers are there between 6101 and 6,200?
11.
What is the biggest prime number below 6,200?
6199.
What is the first prime number after 6100?
6101.