What is the 3048th prime number?
The 3048th prime number is 27941. The next prime is 27943 (a gap of 2) and the one before is 27919.
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 3048th one is 27941.
- 2
27941 is prime because no prime up to ā27941 ā 167.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3048th prime is close to 3048 Ć ln(3048) ā 24452, and here it is 27941.
- 4
27941 is a twin prime: 27941 and 27943 are both prime.
Primes around the 3048th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3045 | 27901 | 8 |
| 3046 | 27917 | 16 |
| 3047 | 27919 | 2 |
| 3048 | 27941 | 22 |
| 3049 | 27943 | 2 |
| 3050 | 27947 | 4 |
| 3051 | 27953 | 6 |
Questions
What is the 3048th prime number?
27941.
Which prime number is 27941?
27941 is the 3048th prime number.
What is the sum of the first 3048 primes?
39,975,233.