What is the 5416th prime number?
The 5416th prime number is 53089. The next prime is 53093 (a gap of 4) and the one before is 53087.
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 5416th one is 53089.
- 2
53089 is prime because no prime up to ā53089 ā 230.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5416th prime is close to 5416 Ć ln(5416) ā 46562, and here it is 53089.
- 4
53089 is a twin prime: 53087 and 53089 are both prime.
Primes around the 5416th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5413 | 53069 | 18 |
| 5414 | 53077 | 8 |
| 5415 | 53087 | 10 |
| 5416 | 53089 | 2 |
| 5417 | 53093 | 4 |
| 5418 | 53101 | 8 |
| 5419 | 53113 | 12 |
Questions
What is the 5416th prime number?
53089.
Which prime number is 53089?
53089 is the 5416th prime number.
What is the sum of the first 5416 primes?
135,601,179.