What is the 5947th prime number?
The 5947th prime number is 58787. The next prime is 58789 (a gap of 2) and the one before is 58771.
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 5947th one is 58787.
- 2
58787 is prime because no prime up to ā58787 ā 242.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5947th prime is close to 5947 Ć ln(5947) ā 51683, and here it is 58787.
- 4
58787 is a twin prime: 58787 and 58789 are both prime.
Primes around the 5947th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5944 | 58757 | 16 |
| 5945 | 58763 | 6 |
| 5946 | 58771 | 8 |
| 5947 | 58787 | 16 |
| 5948 | 58789 | 2 |
| 5949 | 58831 | 42 |
| 5950 | 58889 | 58 |
Questions
What is the 5947th prime number?
58787.
Which prime number is 58787?
58787 is the 5947th prime number.
What is the sum of the first 5947 primes?
165,316,818.