What is the 3053rd prime number?
The 3053rd prime number is 27967. The next prime is 27983 (a gap of 16) and the one before is 27961.
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 3053rd one is 27967.
- 2
27967 is prime because no prime up to ā27967 ā 167.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3053rd prime is close to 3053 Ć ln(3053) ā 24497, and here it is 27967.
- 4
27967 has no twin: neither 27965 nor 27969 is prime.
Primes around the 3053rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3050 | 27947 | 4 |
| 3051 | 27953 | 6 |
| 3052 | 27961 | 8 |
| 3053 | 27967 | 6 |
| 3054 | 27983 | 16 |
| 3055 | 27997 | 14 |
| 3056 | 28001 | 4 |
Questions
What is the 3053rd prime number?
27967.
Which prime number is 27967?
27967 is the 3053rd prime number.
What is the sum of the first 3053 primes?
40,115,004.