What is the 5924th prime number?
The 5924th prime number is 58537. The next prime is 58543 (a gap of 6) and the one before is 58511.
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 5924th one is 58537.
- 2
58537 is prime because no prime up to ā58537 ā 241.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5924th prime is close to 5924 Ć ln(5924) ā 51460, and here it is 58537.
- 4
58537 has no twin: neither 58535 nor 58539 is prime.
Primes around the 5924th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5921 | 58477 | 24 |
| 5922 | 58481 | 4 |
| 5923 | 58511 | 30 |
| 5924 | 58537 | 26 |
| 5925 | 58543 | 6 |
| 5926 | 58549 | 6 |
| 5927 | 58567 | 18 |
Questions
What is the 5924th prime number?
58537.
Which prime number is 58537?
58537 is the 5924th prime number.
What is the sum of the first 5924 primes?
163,967,493.