Prime numbers between 1101 and 1,200
There are 12 prime numbers between 1101 and 1,200: 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193.
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 ā1200 ā 34.6 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 12 primes between 1101 and 1,200, with a total of 13,780.
- 3
The biggest gap between neighbouring primes in this range is 22, after 1129 (the next prime is 1151). There are 1 twin prime pairs (primes 2 apart): (1151, 1153).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 1,101 to 1,110 | 2 | 20% |
| 1,111 to 1,120 | 1 | 10% |
| 1,121 to 1,130 | 2 | 20% |
| 1,131 to 1,140 | 0 | 0% |
| 1,141 to 1,150 | 0 | 0% |
| 1,151 to 1,160 | 2 | 20% |
| 1,161 to 1,170 | 1 | 10% |
| 1,171 to 1,180 | 1 | 10% |
| 1,181 to 1,190 | 2 | 20% |
| 1,191 to 1,200 | 1 | 10% |
Questions
How many prime numbers are there between 1101 and 1,200?
12.
What is the biggest prime number below 1,200?
1193.
What is the first prime number after 1100?
1103.