What is the 4049th prime number?
The 4049th prime number is 38351. The next prime is 38371 (a gap of 20) and the one before is 38333.
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 4049th one is 38351.
- 2
38351 is prime because no prime up to ā38351 ā 195.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4049th prime is close to 4049 Ć ln(4049) ā 33632, and here it is 38351.
- 4
38351 has no twin: neither 38349 nor 38353 is prime.
Primes around the 4049th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4046 | 38327 | 6 |
| 4047 | 38329 | 2 |
| 4048 | 38333 | 4 |
| 4049 | 38351 | 18 |
| 4050 | 38371 | 20 |
| 4051 | 38377 | 6 |
| 4052 | 38393 | 16 |
Questions
What is the 4049th prime number?
38351.
Which prime number is 38351?
38351 is the 4049th prime number.
What is the sum of the first 4049 primes?
73,134,106.