What is the 5917th prime number?
The 5917th prime number is 58439. The next prime is 58441 (a gap of 2) and the one before is 58427.
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 5917th one is 58439.
- 2
58439 is prime because no prime up to ā58439 ā 241.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5917th prime is close to 5917 Ć ln(5917) ā 51393, and here it is 58439.
- 4
58439 is a twin prime: 58439 and 58441 are both prime.
Primes around the 5917th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5914 | 58411 | 8 |
| 5915 | 58417 | 6 |
| 5916 | 58427 | 10 |
| 5917 | 58439 | 12 |
| 5918 | 58441 | 2 |
| 5919 | 58451 | 10 |
| 5920 | 58453 | 2 |
Questions
What is the 5917th prime number?
58439.
Which prime number is 58439?
58439 is the 5917th prime number.
What is the sum of the first 5917 primes?
163,558,142.