What is the 4199th prime number?
The 4199th prime number is 39953. The next prime is 39971 (a gap of 18) and the one before is 39937.
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 4199th one is 39953.
- 2
39953 is prime because no prime up to ā39953 ā 199.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4199th prime is close to 4199 Ć ln(4199) ā 35031, and here it is 39953.
- 4
39953 has no twin: neither 39951 nor 39955 is prime.
Primes around the 4199th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4196 | 39901 | 14 |
| 4197 | 39929 | 28 |
| 4198 | 39937 | 8 |
| 4199 | 39953 | 16 |
| 4200 | 39971 | 18 |
| 4201 | 39979 | 8 |
| 4202 | 39983 | 4 |
Questions
What is the 4199th prime number?
39953.
Which prime number is 39953?
39953 is the 4199th prime number.
What is the sum of the first 4199 primes?
79,010,744.