What is the 5496th prime number?
The 5496th prime number is 53939. The next prime is 53951 (a gap of 12) and the one before is 53927.
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 5496th one is 53939.
- 2
53939 is prime because no prime up to ā53939 ā 232.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5496th prime is close to 5496 Ć ln(5496) ā 47330, and here it is 53939.
- 4
53939 has no twin: neither 53937 nor 53941 is prime.
Primes around the 5496th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5493 | 53917 | 18 |
| 5494 | 53923 | 6 |
| 5495 | 53927 | 4 |
| 5496 | 53939 | 12 |
| 5497 | 53951 | 12 |
| 5498 | 53959 | 8 |
| 5499 | 53987 | 28 |
Questions
What is the 5496th prime number?
53939.
Which prime number is 53939?
53939 is the 5496th prime number.
What is the sum of the first 5496 primes?
139,883,067.