Prime numbers between 1201 and 1,300
There are 15 prime numbers between 1201 and 1,300: 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297.
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 ā1300 ā 36.1 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 15 primes between 1201 and 1,300, with a total of 18,775.
- 3
The biggest gap between neighbouring primes in this range is 18, after 1259 (the next prime is 1277). There are 3 twin prime pairs (primes 2 apart): (1229, 1231), (1277, 1279), (1289, 1291).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 1,201 to 1,210 | 1 | 10% |
| 1,211 to 1,220 | 2 | 20% |
| 1,221 to 1,230 | 2 | 20% |
| 1,231 to 1,240 | 2 | 20% |
| 1,241 to 1,250 | 1 | 10% |
| 1,251 to 1,260 | 1 | 10% |
| 1,261 to 1,270 | 0 | 0% |
| 1,271 to 1,280 | 2 | 20% |
| 1,281 to 1,290 | 2 | 20% |
| 1,291 to 1,300 | 2 | 20% |
Questions
How many prime numbers are there between 1201 and 1,300?
15.
What is the biggest prime number below 1,300?
1297.
What is the first prime number after 1200?
1201.