What is the 5497th prime number?
The 5497th prime number is 53951. The next prime is 53959 (a gap of 8) and the one before is 53939.
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 5497th one is 53951.
- 2
53951 is prime because no prime up to ā53951 ā 232.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5497th prime is close to 5497 Ć ln(5497) ā 47340, and here it is 53951.
- 4
53951 has no twin: neither 53949 nor 53953 is prime.
Primes around the 5497th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5494 | 53923 | 6 |
| 5495 | 53927 | 4 |
| 5496 | 53939 | 12 |
| 5497 | 53951 | 12 |
| 5498 | 53959 | 8 |
| 5499 | 53987 | 28 |
| 5500 | 53993 | 6 |
Questions
What is the 5497th prime number?
53951.
Which prime number is 53951?
53951 is the 5497th prime number.
What is the sum of the first 5497 primes?
139,937,018.