What is the 3052nd prime number?
The 3052nd prime number is 27961. The next prime is 27967 (a gap of 6) and the one before is 27953.
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 3052nd one is 27961.
- 2
27961 is prime because no prime up to ā27961 ā 167.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3052nd prime is close to 3052 Ć ln(3052) ā 24488, and here it is 27961.
- 4
27961 has no twin: neither 27959 nor 27963 is prime.
Primes around the 3052nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3049 | 27943 | 2 |
| 3050 | 27947 | 4 |
| 3051 | 27953 | 6 |
| 3052 | 27961 | 8 |
| 3053 | 27967 | 6 |
| 3054 | 27983 | 16 |
| 3055 | 27997 | 14 |
Questions
What is the 3052nd prime number?
27961.
Which prime number is 27961?
27961 is the 3052nd prime number.
What is the sum of the first 3052 primes?
40,087,037.