What is the 5699th prime number?
The 5699th prime number is 56171. The next prime is 56179 (a gap of 8) and the one before is 56167.
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 5699th one is 56171.
- 2
56171 is prime because no prime up to ā56171 ā 237.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5699th prime is close to 5699 Ć ln(5699) ā 49285, and here it is 56171.
- 4
56171 has no twin: neither 56169 nor 56173 is prime.
Primes around the 5699th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5696 | 56131 | 8 |
| 5697 | 56149 | 18 |
| 5698 | 56167 | 18 |
| 5699 | 56171 | 4 |
| 5700 | 56179 | 8 |
| 5701 | 56197 | 18 |
| 5702 | 56207 | 10 |
Questions
What is the 5699th prime number?
56171.
Which prime number is 56171?
56171 is the 5699th prime number.
What is the sum of the first 5699 primes?
151,064,844.