What is the 5494th prime number?
The 5494th prime number is 53923. The next prime is 53927 (a gap of 4) and the one before is 53917.
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 5494th one is 53923.
- 2
53923 is prime because no prime up to ā53923 ā 232.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5494th prime is close to 5494 Ć ln(5494) ā 47311, and here it is 53923.
- 4
53923 has no twin: neither 53921 nor 53925 is prime.
Primes around the 5494th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5491 | 53897 | 6 |
| 5492 | 53899 | 2 |
| 5493 | 53917 | 18 |
| 5494 | 53923 | 6 |
| 5495 | 53927 | 4 |
| 5496 | 53939 | 12 |
| 5497 | 53951 | 12 |
Questions
What is the 5494th prime number?
53923.
Which prime number is 53923?
53923 is the 5494th prime number.
What is the sum of the first 5494 primes?
139,775,201.