What is the 5716th prime number?
The 5716th prime number is 56383. The next prime is 56393 (a gap of 10) and the one before is 56377.
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 5716th one is 56383.
- 2
56383 is prime because no prime up to ā56383 ā 237.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5716th prime is close to 5716 Ć ln(5716) ā 49449, and here it is 56383.
- 4
56383 has no twin: neither 56381 nor 56385 is prime.
Primes around the 5716th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5713 | 56359 | 26 |
| 5714 | 56369 | 10 |
| 5715 | 56377 | 8 |
| 5716 | 56383 | 6 |
| 5717 | 56393 | 10 |
| 5718 | 56401 | 8 |
| 5719 | 56417 | 16 |
Questions
What is the 5716th prime number?
56383.
Which prime number is 56383?
56383 is the 5716th prime number.
What is the sum of the first 5716 primes?
152,021,591.