What is the 5916th prime number?
The 5916th prime number is 58427. The next prime is 58439 (a gap of 12) and the one before is 58417.
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 5916th one is 58427.
- 2
58427 is prime because no prime up to ā58427 ā 241.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5916th prime is close to 5916 Ć ln(5916) ā 51383, and here it is 58427.
- 4
58427 has no twin: neither 58425 nor 58429 is prime.
Primes around the 5916th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5913 | 58403 | 10 |
| 5914 | 58411 | 8 |
| 5915 | 58417 | 6 |
| 5916 | 58427 | 10 |
| 5917 | 58439 | 12 |
| 5918 | 58441 | 2 |
| 5919 | 58451 | 10 |
Questions
What is the 5916th prime number?
58427.
Which prime number is 58427?
58427 is the 5916th prime number.
What is the sum of the first 5916 primes?
163,499,703.