What is the 5805th prime number?
The 5805th prime number is 57241. The next prime is 57251 (a gap of 10) and the one before is 57223.
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 5805th one is 57241.
- 2
57241 is prime because no prime up to ā57241 ā 239.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5805th prime is close to 5805 Ć ln(5805) ā 50309, and here it is 57241.
- 4
57241 has no twin: neither 57239 nor 57243 is prime.
Primes around the 5805th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5802 | 57203 | 10 |
| 5803 | 57221 | 18 |
| 5804 | 57223 | 2 |
| 5805 | 57241 | 18 |
| 5806 | 57251 | 10 |
| 5807 | 57259 | 8 |
| 5808 | 57269 | 10 |
Questions
What is the 5805th prime number?
57241.
Which prime number is 57241?
57241 is the 5805th prime number.
What is the sum of the first 5805 primes?
157,077,944.