What is the 5691st prime number?
The 5691st prime number is 56093. The next prime is 56099 (a gap of 6) and the one before is 56087.
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 5691st one is 56093.
- 2
56093 is prime because no prime up to ā56093 ā 236.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5691st prime is close to 5691 Ć ln(5691) ā 49208, and here it is 56093.
- 4
56093 has no twin: neither 56091 nor 56095 is prime.
Primes around the 5691st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5688 | 56053 | 12 |
| 5689 | 56081 | 28 |
| 5690 | 56087 | 6 |
| 5691 | 56093 | 6 |
| 5692 | 56099 | 6 |
| 5693 | 56101 | 2 |
| 5694 | 56113 | 12 |
Questions
What is the 5691st prime number?
56093.
Which prime number is 56093?
56093 is the 5691st prime number.
What is the sum of the first 5691 primes?
150,615,790.