What is the 4197th prime number?
The 4197th prime number is 39929. The next prime is 39937 (a gap of 8) and the one before is 39901.
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 4197th one is 39929.
- 2
39929 is prime because no prime up to ā39929 ā 199.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4197th prime is close to 4197 Ć ln(4197) ā 35012, and here it is 39929.
- 4
39929 has no twin: neither 39927 nor 39931 is prime.
Primes around the 4197th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4194 | 39883 | 6 |
| 4195 | 39887 | 4 |
| 4196 | 39901 | 14 |
| 4197 | 39929 | 28 |
| 4198 | 39937 | 8 |
| 4199 | 39953 | 16 |
| 4200 | 39971 | 18 |
Questions
What is the 4197th prime number?
39929.
Which prime number is 39929?
39929 is the 4197th prime number.
What is the sum of the first 4197 primes?
78,930,854.