What is the 5896th prime number?
The 5896th prime number is 58211. The next prime is 58217 (a gap of 6) and the one before is 58207.
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 5896th one is 58211.
- 2
58211 is prime because no prime up to ā58211 ā 241.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5896th prime is close to 5896 Ć ln(5896) ā 51189, and here it is 58211.
- 4
58211 has no twin: neither 58209 nor 58213 is prime.
Primes around the 5896th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5893 | 58193 | 4 |
| 5894 | 58199 | 6 |
| 5895 | 58207 | 8 |
| 5896 | 58211 | 4 |
| 5897 | 58217 | 6 |
| 5898 | 58229 | 12 |
| 5899 | 58231 | 2 |
Questions
What is the 5896th prime number?
58211.
Which prime number is 58211?
58211 is the 5896th prime number.
What is the sum of the first 5896 primes?
162,333,075.