What is the 5906th prime number?
The 5906th prime number is 58337. The next prime is 58363 (a gap of 26) and the one before is 58321.
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 5906th one is 58337.
- 2
58337 is prime because no prime up to ā58337 ā 241.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5906th prime is close to 5906 Ć ln(5906) ā 51286, and here it is 58337.
- 4
58337 has no twin: neither 58335 nor 58339 is prime.
Primes around the 5906th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5903 | 58309 | 38 |
| 5904 | 58313 | 4 |
| 5905 | 58321 | 8 |
| 5906 | 58337 | 16 |
| 5907 | 58363 | 26 |
| 5908 | 58367 | 4 |
| 5909 | 58369 | 2 |
Questions
What is the 5906th prime number?
58337.
Which prime number is 58337?
58337 is the 5906th prime number.
What is the sum of the first 5906 primes?
162,915,783.