What is the 5872nd prime number?
The 5872nd prime number is 57977. The next prime is 57991 (a gap of 14) and the one before is 57973.
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 5872nd one is 57977.
- 2
57977 is prime because no prime up to ā57977 ā 240.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5872nd prime is close to 5872 Ć ln(5872) ā 50957, and here it is 57977.
- 4
57977 has no twin: neither 57975 nor 57979 is prime.
Primes around the 5872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5869 | 57943 | 20 |
| 5870 | 57947 | 4 |
| 5871 | 57973 | 26 |
| 5872 | 57977 | 4 |
| 5873 | 57991 | 14 |
| 5874 | 58013 | 22 |
| 5875 | 58027 | 14 |
Questions
What is the 5872nd prime number?
57977.
Which prime number is 57977?
57977 is the 5872nd prime number.
What is the sum of the first 5872 primes?
160,938,425.