What is the 3040th prime number?
The 3040th prime number is 27827. The next prime is 27847 (a gap of 20) and the one before is 27823.
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 3040th one is 27827.
- 2
27827 is prime because no prime up to ā27827 ā 166.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3040th prime is close to 3040 Ć ln(3040) ā 24380, and here it is 27827.
- 4
27827 has no twin: neither 27825 nor 27829 is prime.
Primes around the 3040th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3037 | 27809 | 6 |
| 3038 | 27817 | 8 |
| 3039 | 27823 | 6 |
| 3040 | 27827 | 4 |
| 3041 | 27847 | 20 |
| 3042 | 27851 | 4 |
| 3043 | 27883 | 32 |
Questions
What is the 3040th prime number?
27827.
Which prime number is 27827?
27827 is the 3040th prime number.
What is the sum of the first 3040 primes?
39,752,081.