What is the 3030th prime number?
The 3030th prime number is 27767. The next prime is 27773 (a gap of 6) and the one before is 27763.
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 3030th one is 27767.
- 2
27767 is prime because no prime up to ā27767 ā 166.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3030th prime is close to 3030 Ć ln(3030) ā 24289, and here it is 27767.
- 4
27767 has no twin: neither 27765 nor 27769 is prime.
Primes around the 3030th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3027 | 27749 | 6 |
| 3028 | 27751 | 2 |
| 3029 | 27763 | 12 |
| 3030 | 27767 | 4 |
| 3031 | 27773 | 6 |
| 3032 | 27779 | 6 |
| 3033 | 27791 | 12 |
Questions
What is the 3030th prime number?
27767.
Which prime number is 27767?
27767 is the 3030th prime number.
What is the sum of the first 3030 primes?
39,474,067.