What is the 5694th prime number?
The 5694th prime number is 56113. The next prime is 56123 (a gap of 10) and the one before is 56101.
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 5694th one is 56113.
- 2
56113 is prime because no prime up to ā56113 ā 236.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5694th prime is close to 5694 Ć ln(5694) ā 49237, and here it is 56113.
- 4
56113 has no twin: neither 56111 nor 56115 is prime.
Primes around the 5694th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5691 | 56093 | 6 |
| 5692 | 56099 | 6 |
| 5693 | 56101 | 2 |
| 5694 | 56113 | 12 |
| 5695 | 56123 | 10 |
| 5696 | 56131 | 8 |
| 5697 | 56149 | 18 |
Questions
What is the 5694th prime number?
56113.
Which prime number is 56113?
56113 is the 5694th prime number.
What is the sum of the first 5694 primes?
150,784,103.