What is the 3014th prime number?
The 3014th prime number is 27617. The next prime is 27631 (a gap of 14) and the one before is 27611.
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 3014th one is 27617.
- 2
27617 is prime because no prime up to ā27617 ā 166.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3014th prime is close to 3014 Ć ln(3014) ā 24145, and here it is 27617.
- 4
27617 has no twin: neither 27615 nor 27619 is prime.
Primes around the 3014th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3011 | 27581 | 30 |
| 3012 | 27583 | 2 |
| 3013 | 27611 | 28 |
| 3014 | 27617 | 6 |
| 3015 | 27631 | 14 |
| 3016 | 27647 | 16 |
| 3017 | 27653 | 6 |
Questions
What is the 3014th prime number?
27617.
Which prime number is 27617?
27617 is the 3014th prime number.
What is the sum of the first 3014 primes?
39,030,703.