Prime numbers between 3801 and 3,900
There are 11 prime numbers between 3801 and 3,900: 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889.
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 ā3900 ā 62.4 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 11 primes between 3801 and 3,900, with a total of 42,341.
- 3
The biggest gap between neighbouring primes in this range is 18, after 3803 (the next prime is 3821). There are 2 twin prime pairs (primes 2 apart): (3821, 3823), (3851, 3853).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 3,801 to 3,810 | 1 | 10% |
| 3,811 to 3,820 | 0 | 0% |
| 3,821 to 3,830 | 2 | 20% |
| 3,831 to 3,840 | 1 | 10% |
| 3,841 to 3,850 | 1 | 10% |
| 3,851 to 3,860 | 2 | 20% |
| 3,861 to 3,870 | 1 | 10% |
| 3,871 to 3,880 | 1 | 10% |
| 3,881 to 3,890 | 2 | 20% |
| 3,891 to 3,900 | 0 | 0% |
Questions
How many prime numbers are there between 3801 and 3,900?
11.
What is the biggest prime number below 3,900?
3889.
What is the first prime number after 3800?
3803.