What is the 3039th prime number?
The 3039th prime number is 27823. The next prime is 27827 (a gap of 4) and the one before is 27817.
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 3039th one is 27823.
- 2
27823 is prime because no prime up to ā27823 ā 166.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3039th prime is close to 3039 Ć ln(3039) ā 24371, and here it is 27823.
- 4
27823 has no twin: neither 27821 nor 27825 is prime.
Primes around the 3039th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3036 | 27803 | 4 |
| 3037 | 27809 | 6 |
| 3038 | 27817 | 8 |
| 3039 | 27823 | 6 |
| 3040 | 27827 | 4 |
| 3041 | 27847 | 20 |
| 3042 | 27851 | 4 |
Questions
What is the 3039th prime number?
27823.
Which prime number is 27823?
27823 is the 3039th prime number.
What is the sum of the first 3039 primes?
39,724,254.