What is the 5700th prime number?
The 5700th prime number is 56179. The next prime is 56197 (a gap of 18) and the one before is 56171.
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 5700th one is 56179.
- 2
56179 is prime because no prime up to ā56179 ā 237.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5700th prime is close to 5700 Ć ln(5700) ā 49295, and here it is 56179.
- 4
56179 has no twin: neither 56177 nor 56181 is prime.
Primes around the 5700th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5697 | 56149 | 18 |
| 5698 | 56167 | 18 |
| 5699 | 56171 | 4 |
| 5700 | 56179 | 8 |
| 5701 | 56197 | 18 |
| 5702 | 56207 | 10 |
| 5703 | 56209 | 2 |
Questions
What is the 5700th prime number?
56179.
Which prime number is 56179?
56179 is the 5700th prime number.
What is the sum of the first 5700 primes?
151,121,023.