What is the 5418th prime number?
The 5418th prime number is 53101. The next prime is 53113 (a gap of 12) and the one before is 53093.
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 5418th one is 53101.
- 2
53101 is prime because no prime up to ā53101 ā 230.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5418th prime is close to 5418 Ć ln(5418) ā 46581, and here it is 53101.
- 4
53101 has no twin: neither 53099 nor 53103 is prime.
Primes around the 5418th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5415 | 53087 | 10 |
| 5416 | 53089 | 2 |
| 5417 | 53093 | 4 |
| 5418 | 53101 | 8 |
| 5419 | 53113 | 12 |
| 5420 | 53117 | 4 |
| 5421 | 53129 | 12 |
Questions
What is the 5418th prime number?
53101.
Which prime number is 53101?
53101 is the 5418th prime number.
What is the sum of the first 5418 primes?
135,707,373.