What is the 5498th prime number?
The 5498th prime number is 53959. The next prime is 53987 (a gap of 28) and the one before is 53951.
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 5498th one is 53959.
- 2
53959 is prime because no prime up to ā53959 ā 232.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5498th prime is close to 5498 Ć ln(5498) ā 47350, and here it is 53959.
- 4
53959 has no twin: neither 53957 nor 53961 is prime.
Primes around the 5498th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5495 | 53927 | 4 |
| 5496 | 53939 | 12 |
| 5497 | 53951 | 12 |
| 5498 | 53959 | 8 |
| 5499 | 53987 | 28 |
| 5500 | 53993 | 6 |
| 5501 | 54001 | 8 |
Questions
What is the 5498th prime number?
53959.
Which prime number is 53959?
53959 is the 5498th prime number.
What is the sum of the first 5498 primes?
139,990,977.