Prime numbers between 27001 and 28,000
There are 94 prime numbers between 27001 and 28,000: 27011, 27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077, 27091, 27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211, 27239, 27241, 27253, 27259, 27271, 27277, 27281, 27283, 27299, 27329, 27337, 27361, 27367, 27397, 27407, 27409, 27427, 27431, 27437, 27449, 27457, 27479, 27481, 27487, 27509, 27527, 27529, 27539, 27541, 27551, 27581, 27583, 27611, 27617, 27631, 27647, 27653, 27673, 27689, 27691, 27697, 27701, 27733, 27737, 27739, 27743, 27749, 27751, 27763, 27767, 27773, 27779, 27791, 27793, 27799, 27803, 27809, 27817, 27823, 27827, 27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941, 27943, 27947, 27953, 27961, 27967, 27983, 27997.
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 ā28000 ā 167.3 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 94 primes between 27001 and 28,000, with a total of 2,587,424.
- 3
The biggest gap between neighbouring primes in this range is 36, after 27143 (the next prime is 27179). There are 15 twin prime pairs (primes 2 apart), the first ones (27059, 27061), (27107, 27109), (27239, 27241), (27281, 27283), (27407, 27409), (27479, 27481), (27527, 27529), (27539, 27541).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 27,001 to 28,000 | 94 | 9.4% |
Questions
How many prime numbers are there between 27001 and 28,000?
94.
What is the biggest prime number below 28,000?
27997.
What is the first prime number after 27000?
27011.