What is the 3047th prime number?
The 3047th prime number is 27919. The next prime is 27941 (a gap of 22) and the one before is 27917.
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 3047th one is 27919.
- 2
27919 is prime because no prime up to ā27919 ā 167.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3047th prime is close to 3047 Ć ln(3047) ā 24443, and here it is 27919.
- 4
27919 is a twin prime: 27917 and 27919 are both prime.
Primes around the 3047th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3044 | 27893 | 10 |
| 3045 | 27901 | 8 |
| 3046 | 27917 | 16 |
| 3047 | 27919 | 2 |
| 3048 | 27941 | 22 |
| 3049 | 27943 | 2 |
| 3050 | 27947 | 4 |
Questions
What is the 3047th prime number?
27919.
Which prime number is 27919?
27919 is the 3047th prime number.
What is the sum of the first 3047 primes?
39,947,292.