Prime numbers between 2901 and 3,000
There are 11 prime numbers between 2901 and 3,000: 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999.
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 ā3000 ā 54.8 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 11 primes between 2901 and 3,000, with a total of 32,407.
- 3
The biggest gap between neighbouring primes in this range is 28, after 2971 (the next prime is 2999). There are 1 twin prime pairs (primes 2 apart): (2969, 2971).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 2,901 to 2,910 | 2 | 20% |
| 2,911 to 2,920 | 1 | 10% |
| 2,921 to 2,930 | 1 | 10% |
| 2,931 to 2,940 | 1 | 10% |
| 2,941 to 2,950 | 0 | 0% |
| 2,951 to 2,960 | 2 | 20% |
| 2,961 to 2,970 | 2 | 20% |
| 2,971 to 2,980 | 1 | 10% |
| 2,981 to 2,990 | 0 | 0% |
| 2,991 to 3,000 | 1 | 10% |
Questions
How many prime numbers are there between 2901 and 3,000?
11.
What is the biggest prime number below 3,000?
2999.
What is the first prime number after 2900?
2903.