What is the 3029th prime number?
The 3029th prime number is 27763. The next prime is 27767 (a gap of 4) and the one before is 27751.
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 3029th one is 27763.
- 2
27763 is prime because no prime up to ā27763 ā 166.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3029th prime is close to 3029 Ć ln(3029) ā 24280, and here it is 27763.
- 4
27763 has no twin: neither 27761 nor 27765 is prime.
Primes around the 3029th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3026 | 27743 | 4 |
| 3027 | 27749 | 6 |
| 3028 | 27751 | 2 |
| 3029 | 27763 | 12 |
| 3030 | 27767 | 4 |
| 3031 | 27773 | 6 |
| 3032 | 27779 | 6 |
Questions
What is the 3029th prime number?
27763.
Which prime number is 27763?
27763 is the 3029th prime number.
What is the sum of the first 3029 primes?
39,446,300.