What is the 5946th prime number?
The 5946th prime number is 58771. The next prime is 58787 (a gap of 16) and the one before is 58763.
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 5946th one is 58771.
- 2
58771 is prime because no prime up to ā58771 ā 242.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5946th prime is close to 5946 Ć ln(5946) ā 51674, and here it is 58771.
- 4
58771 has no twin: neither 58769 nor 58773 is prime.
Primes around the 5946th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5943 | 58741 | 8 |
| 5944 | 58757 | 16 |
| 5945 | 58763 | 6 |
| 5946 | 58771 | 8 |
| 5947 | 58787 | 16 |
| 5948 | 58789 | 2 |
| 5949 | 58831 | 42 |
Questions
What is the 5946th prime number?
58771.
Which prime number is 58771?
58771 is the 5946th prime number.
What is the sum of the first 5946 primes?
165,258,031.