What is the 3038th prime number?
The 3038th prime number is 27817. The next prime is 27823 (a gap of 6) and the one before is 27809.
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 3038th one is 27817.
- 2
27817 is prime because no prime up to ā27817 ā 166.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3038th prime is close to 3038 Ć ln(3038) ā 24362, and here it is 27817.
- 4
27817 has no twin: neither 27815 nor 27819 is prime.
Primes around the 3038th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3035 | 27799 | 6 |
| 3036 | 27803 | 4 |
| 3037 | 27809 | 6 |
| 3038 | 27817 | 8 |
| 3039 | 27823 | 6 |
| 3040 | 27827 | 4 |
| 3041 | 27847 | 20 |
Questions
What is the 3038th prime number?
27817.
Which prime number is 27817?
27817 is the 3038th prime number.
What is the sum of the first 3038 primes?
39,696,431.