What is the 3051st prime number?
The 3051st prime number is 27953. The next prime is 27961 (a gap of 8) and the one before is 27947.
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 3051st one is 27953.
- 2
27953 is prime because no prime up to ā27953 ā 167.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3051st prime is close to 3051 Ć ln(3051) ā 24479, and here it is 27953.
- 4
27953 has no twin: neither 27951 nor 27955 is prime.
Primes around the 3051st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3048 | 27941 | 22 |
| 3049 | 27943 | 2 |
| 3050 | 27947 | 4 |
| 3051 | 27953 | 6 |
| 3052 | 27961 | 8 |
| 3053 | 27967 | 6 |
| 3054 | 27983 | 16 |
Questions
What is the 3051st prime number?
27953.
Which prime number is 27953?
27953 is the 3051st prime number.
What is the sum of the first 3051 primes?
40,059,076.