What is the 3016th prime number?
The 3016th prime number is 27647. The next prime is 27653 (a gap of 6) and the one before is 27631.
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 3016th one is 27647.
- 2
27647 is prime because no prime up to ā27647 ā 166.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3016th prime is close to 3016 Ć ln(3016) ā 24163, and here it is 27647.
- 4
27647 has no twin: neither 27645 nor 27649 is prime.
Primes around the 3016th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3013 | 27611 | 28 |
| 3014 | 27617 | 6 |
| 3015 | 27631 | 14 |
| 3016 | 27647 | 16 |
| 3017 | 27653 | 6 |
| 3018 | 27673 | 20 |
| 3019 | 27689 | 16 |
Questions
What is the 3016th prime number?
27647.
Which prime number is 27647?
27647 is the 3016th prime number.
What is the sum of the first 3016 primes?
39,085,981.