Prime numbers between 901 and 1,000
There are 14 prime numbers between 901 and 1,000: 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997.
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 ā1000 ā 31.6 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 14 primes between 901 and 1,000, with a total of 13,330.
- 3
The biggest gap between neighbouring primes in this range is 14, after 953 (the next prime is 967). There are no twin primes here.
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 901 to 910 | 1 | 10% |
| 911 to 920 | 2 | 20% |
| 921 to 930 | 1 | 10% |
| 931 to 940 | 1 | 10% |
| 941 to 950 | 2 | 20% |
| 951 to 960 | 1 | 10% |
| 961 to 970 | 1 | 10% |
| 971 to 980 | 2 | 20% |
| 981 to 990 | 1 | 10% |
| 991 to 1,000 | 2 | 20% |
Questions
How many prime numbers are there between 901 and 1,000?
14.
What is the biggest prime number below 1,000?
997.
What is the first prime number after 900?
907.