What is the 5894th prime number?
The 5894th prime number is 58199. The next prime is 58207 (a gap of 8) and the one before is 58193.
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 5894th one is 58199.
- 2
58199 is prime because no prime up to ā58199 ā 241.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5894th prime is close to 5894 Ć ln(5894) ā 51170, and here it is 58199.
- 4
58199 has no twin: neither 58197 nor 58201 is prime.
Primes around the 5894th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5891 | 58171 | 2 |
| 5892 | 58189 | 18 |
| 5893 | 58193 | 4 |
| 5894 | 58199 | 6 |
| 5895 | 58207 | 8 |
| 5896 | 58211 | 4 |
| 5897 | 58217 | 6 |
Questions
What is the 5894th prime number?
58199.
Which prime number is 58199?
58199 is the 5894th prime number.
What is the sum of the first 5894 primes?
162,216,657.