What is the 5915th prime number?
The 5915th prime number is 58417. The next prime is 58427 (a gap of 10) and the one before is 58411.
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 5915th one is 58417.
- 2
58417 is prime because no prime up to ā58417 ā 241.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5915th prime is close to 5915 Ć ln(5915) ā 51373, and here it is 58417.
- 4
58417 has no twin: neither 58415 nor 58419 is prime.
Primes around the 5915th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5912 | 58393 | 2 |
| 5913 | 58403 | 10 |
| 5914 | 58411 | 8 |
| 5915 | 58417 | 6 |
| 5916 | 58427 | 10 |
| 5917 | 58439 | 12 |
| 5918 | 58441 | 2 |
Questions
What is the 5915th prime number?
58417.
Which prime number is 58417?
58417 is the 5915th prime number.
What is the sum of the first 5915 primes?
163,441,276.