What is the 5918th prime number?
The 5918th prime number is 58441. The next prime is 58451 (a gap of 10) and the one before is 58439.
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 5918th one is 58441.
- 2
58441 is prime because no prime up to ā58441 ā 241.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5918th prime is close to 5918 Ć ln(5918) ā 51402, and here it is 58441.
- 4
58441 is a twin prime: 58439 and 58441 are both prime.
Primes around the 5918th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5915 | 58417 | 6 |
| 5916 | 58427 | 10 |
| 5917 | 58439 | 12 |
| 5918 | 58441 | 2 |
| 5919 | 58451 | 10 |
| 5920 | 58453 | 2 |
| 5921 | 58477 | 24 |
Questions
What is the 5918th prime number?
58441.
Which prime number is 58441?
58441 is the 5918th prime number.
What is the sum of the first 5918 primes?
163,616,583.