What is the 4198th prime number?
The 4198th prime number is 39937. The next prime is 39953 (a gap of 16) and the one before is 39929.
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 4198th one is 39937.
- 2
39937 is prime because no prime up to ā39937 ā 199.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4198th prime is close to 4198 Ć ln(4198) ā 35021, and here it is 39937.
- 4
39937 has no twin: neither 39935 nor 39939 is prime.
Primes around the 4198th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4195 | 39887 | 4 |
| 4196 | 39901 | 14 |
| 4197 | 39929 | 28 |
| 4198 | 39937 | 8 |
| 4199 | 39953 | 16 |
| 4200 | 39971 | 18 |
| 4201 | 39979 | 8 |
Questions
What is the 4198th prime number?
39937.
Which prime number is 39937?
39937 is the 4198th prime number.
What is the sum of the first 4198 primes?
78,970,791.