What is the 3015th prime number?
The 3015th prime number is 27631. The next prime is 27647 (a gap of 16) and the one before is 27617.
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 3015th one is 27631.
- 2
27631 is prime because no prime up to ā27631 ā 166.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3015th prime is close to 3015 Ć ln(3015) ā 24154, and here it is 27631.
- 4
27631 has no twin: neither 27629 nor 27633 is prime.
Primes around the 3015th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3012 | 27583 | 2 |
| 3013 | 27611 | 28 |
| 3014 | 27617 | 6 |
| 3015 | 27631 | 14 |
| 3016 | 27647 | 16 |
| 3017 | 27653 | 6 |
| 3018 | 27673 | 20 |
Questions
What is the 3015th prime number?
27631.
Which prime number is 27631?
27631 is the 3015th prime number.
What is the sum of the first 3015 primes?
39,058,334.