What is the 5701st prime number?
The 5701st prime number is 56197. The next prime is 56207 (a gap of 10) and the one before is 56179.
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 5701st one is 56197.
- 2
56197 is prime because no prime up to ā56197 ā 237.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5701st prime is close to 5701 Ć ln(5701) ā 49305, and here it is 56197.
- 4
56197 has no twin: neither 56195 nor 56199 is prime.
Primes around the 5701st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5698 | 56167 | 18 |
| 5699 | 56171 | 4 |
| 5700 | 56179 | 8 |
| 5701 | 56197 | 18 |
| 5702 | 56207 | 10 |
| 5703 | 56209 | 2 |
| 5704 | 56237 | 28 |
Questions
What is the 5701st prime number?
56197.
Which prime number is 56197?
56197 is the 5701st prime number.
What is the sum of the first 5701 primes?
151,177,220.