What is the 5907th prime number?
The 5907th prime number is 58363. The next prime is 58367 (a gap of 4) and the one before is 58337.
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 5907th one is 58363.
- 2
58363 is prime because no prime up to ā58363 ā 241.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5907th prime is close to 5907 Ć ln(5907) ā 51296, and here it is 58363.
- 4
58363 has no twin: neither 58361 nor 58365 is prime.
Primes around the 5907th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5904 | 58313 | 4 |
| 5905 | 58321 | 8 |
| 5906 | 58337 | 16 |
| 5907 | 58363 | 26 |
| 5908 | 58367 | 4 |
| 5909 | 58369 | 2 |
| 5910 | 58379 | 10 |
Questions
What is the 5907th prime number?
58363.
Which prime number is 58363?
58363 is the 5907th prime number.
What is the sum of the first 5907 primes?
162,974,146.