What is the 3050th prime number?
The 3050th prime number is 27947. The next prime is 27953 (a gap of 6) and the one before is 27943.
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 3050th one is 27947.
- 2
27947 is prime because no prime up to ā27947 ā 167.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3050th prime is close to 3050 Ć ln(3050) ā 24470, and here it is 27947.
- 4
27947 has no twin: neither 27945 nor 27949 is prime.
Primes around the 3050th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3047 | 27919 | 2 |
| 3048 | 27941 | 22 |
| 3049 | 27943 | 2 |
| 3050 | 27947 | 4 |
| 3051 | 27953 | 6 |
| 3052 | 27961 | 8 |
| 3053 | 27967 | 6 |
Questions
What is the 3050th prime number?
27947.
Which prime number is 27947?
27947 is the 3050th prime number.
What is the sum of the first 3050 primes?
40,031,123.