What is the 5950th prime number?
The 5950th prime number is 58889. The next prime is 58897 (a gap of 8) and the one before is 58831.
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 5950th one is 58889.
- 2
58889 is prime because no prime up to ā58889 ā 242.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5950th prime is close to 5950 Ć ln(5950) ā 51712, and here it is 58889.
- 4
58889 has no twin: neither 58887 nor 58891 is prime.
Primes around the 5950th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5947 | 58787 | 16 |
| 5948 | 58789 | 2 |
| 5949 | 58831 | 42 |
| 5950 | 58889 | 58 |
| 5951 | 58897 | 8 |
| 5952 | 58901 | 4 |
| 5953 | 58907 | 6 |
Questions
What is the 5950th prime number?
58889.
Which prime number is 58889?
58889 is the 5950th prime number.
What is the sum of the first 5950 primes?
165,493,327.