What is the 5948th prime number?
The 5948th prime number is 58789. The next prime is 58831 (a gap of 42) and the one before is 58787.
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 5948th one is 58789.
- 2
58789 is prime because no prime up to ā58789 ā 242.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5948th prime is close to 5948 Ć ln(5948) ā 51693, and here it is 58789.
- 4
58789 is a twin prime: 58787 and 58789 are both prime.
Primes around the 5948th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5945 | 58763 | 6 |
| 5946 | 58771 | 8 |
| 5947 | 58787 | 16 |
| 5948 | 58789 | 2 |
| 5949 | 58831 | 42 |
| 5950 | 58889 | 58 |
| 5951 | 58897 | 8 |
Questions
What is the 5948th prime number?
58789.
Which prime number is 58789?
58789 is the 5948th prime number.
What is the sum of the first 5948 primes?
165,375,607.