What is the 5880th prime number?
The 5880th prime number is 58061. The next prime is 58067 (a gap of 6) and the one before is 58057.
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 5880th one is 58061.
- 2
58061 is prime because no prime up to ā58061 ā 240.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5880th prime is close to 5880 Ć ln(5880) ā 51034, and here it is 58061.
- 4
58061 has no twin: neither 58059 nor 58063 is prime.
Primes around the 5880th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5877 | 58043 | 12 |
| 5878 | 58049 | 6 |
| 5879 | 58057 | 8 |
| 5880 | 58061 | 4 |
| 5881 | 58067 | 6 |
| 5882 | 58073 | 6 |
| 5883 | 58099 | 26 |
Questions
What is the 5880th prime number?
58061.
Which prime number is 58061?
58061 is the 5880th prime number.
What is the sum of the first 5880 primes?
161,402,697.