What is the 3017th prime number?
The 3017th prime number is 27653. The next prime is 27673 (a gap of 20) and the one before is 27647.
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 3017th one is 27653.
- 2
27653 is prime because no prime up to ā27653 ā 166.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3017th prime is close to 3017 Ć ln(3017) ā 24172, and here it is 27653.
- 4
27653 has no twin: neither 27651 nor 27655 is prime.
Primes around the 3017th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3014 | 27617 | 6 |
| 3015 | 27631 | 14 |
| 3016 | 27647 | 16 |
| 3017 | 27653 | 6 |
| 3018 | 27673 | 20 |
| 3019 | 27689 | 16 |
| 3020 | 27691 | 2 |
Questions
What is the 3017th prime number?
27653.
Which prime number is 27653?
27653 is the 3017th prime number.
What is the sum of the first 3017 primes?
39,113,634.