What is the 5869th prime number?
The 5869th prime number is 57943. The next prime is 57947 (a gap of 4) and the one before is 57923.
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 5869th one is 57943.
- 2
57943 is prime because no prime up to ā57943 ā 240.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5869th prime is close to 5869 Ć ln(5869) ā 50928, and here it is 57943.
- 4
57943 has no twin: neither 57941 nor 57945 is prime.
Primes around the 5869th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5866 | 57901 | 2 |
| 5867 | 57917 | 16 |
| 5868 | 57923 | 6 |
| 5869 | 57943 | 20 |
| 5870 | 57947 | 4 |
| 5871 | 57973 | 26 |
| 5872 | 57977 | 4 |
Questions
What is the 5869th prime number?
57943.
Which prime number is 57943?
57943 is the 5869th prime number.
What is the sum of the first 5869 primes?
160,764,528.