What is the 5417th prime number?
The 5417th prime number is 53093. The next prime is 53101 (a gap of 8) and the one before is 53089.
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 5417th one is 53093.
- 2
53093 is prime because no prime up to ā53093 ā 230.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5417th prime is close to 5417 Ć ln(5417) ā 46572, and here it is 53093.
- 4
53093 has no twin: neither 53091 nor 53095 is prime.
Primes around the 5417th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5414 | 53077 | 8 |
| 5415 | 53087 | 10 |
| 5416 | 53089 | 2 |
| 5417 | 53093 | 4 |
| 5418 | 53101 | 8 |
| 5419 | 53113 | 12 |
| 5420 | 53117 | 4 |
Questions
What is the 5417th prime number?
53093.
Which prime number is 53093?
53093 is the 5417th prime number.
What is the sum of the first 5417 primes?
135,654,272.