What is the 5695th prime number?
The 5695th prime number is 56123. The next prime is 56131 (a gap of 8) and the one before is 56113.
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 5695th one is 56123.
- 2
56123 is prime because no prime up to ā56123 ā 236.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5695th prime is close to 5695 Ć ln(5695) ā 49247, and here it is 56123.
- 4
56123 has no twin: neither 56121 nor 56125 is prime.
Primes around the 5695th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5692 | 56099 | 6 |
| 5693 | 56101 | 2 |
| 5694 | 56113 | 12 |
| 5695 | 56123 | 10 |
| 5696 | 56131 | 8 |
| 5697 | 56149 | 18 |
| 5698 | 56167 | 18 |
Questions
What is the 5695th prime number?
56123.
Which prime number is 56123?
56123 is the 5695th prime number.
What is the sum of the first 5695 primes?
150,840,226.