What is the 5882nd prime number?
The 5882nd prime number is 58073. The next prime is 58099 (a gap of 26) and the one before is 58067.
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 5882nd one is 58073.
- 2
58073 is prime because no prime up to ā58073 ā 240.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5882nd prime is close to 5882 Ć ln(5882) ā 51054, and here it is 58073.
- 4
58073 has no twin: neither 58071 nor 58075 is prime.
Primes around the 5882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5879 | 58057 | 8 |
| 5880 | 58061 | 4 |
| 5881 | 58067 | 6 |
| 5882 | 58073 | 6 |
| 5883 | 58099 | 26 |
| 5884 | 58109 | 10 |
| 5885 | 58111 | 2 |
Questions
What is the 5882nd prime number?
58073.
Which prime number is 58073?
58073 is the 5882nd prime number.
What is the sum of the first 5882 primes?
161,518,837.