What is the 3044th prime number?
The 3044th prime number is 27893. The next prime is 27901 (a gap of 8) and the one before is 27883.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3044th one is 27893.
- 2
27893 is prime because no prime up to ā27893 ā 167.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3044th prime is close to 3044 Ć ln(3044) ā 24416, and here it is 27893.
- 4
27893 has no twin: neither 27891 nor 27895 is prime.
Primes around the 3044th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3041 | 27847 | 20 |
| 3042 | 27851 | 4 |
| 3043 | 27883 | 32 |
| 3044 | 27893 | 10 |
| 3045 | 27901 | 8 |
| 3046 | 27917 | 16 |
| 3047 | 27919 | 2 |
Questions
What is the 3044th prime number?
27893.
Which prime number is 27893?
27893 is the 3044th prime number.
What is the sum of the first 3044 primes?
39,863,555.