What is the 3049th prime number?
The 3049th prime number is 27943. The next prime is 27947 (a gap of 4) and the one before is 27941.
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 3049th one is 27943.
- 2
27943 is prime because no prime up to ā27943 ā 167.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3049th prime is close to 3049 Ć ln(3049) ā 24461, and here it is 27943.
- 4
27943 is a twin prime: 27941 and 27943 are both prime.
Primes around the 3049th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3046 | 27917 | 16 |
| 3047 | 27919 | 2 |
| 3048 | 27941 | 22 |
| 3049 | 27943 | 2 |
| 3050 | 27947 | 4 |
| 3051 | 27953 | 6 |
| 3052 | 27961 | 8 |
Questions
What is the 3049th prime number?
27943.
Which prime number is 27943?
27943 is the 3049th prime number.
What is the sum of the first 3049 primes?
40,003,176.