What is the 4048th prime number?
The 4048th prime number is 38333. The next prime is 38351 (a gap of 18) and the one before is 38329.
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 4048th one is 38333.
- 2
38333 is prime because no prime up to ā38333 ā 195.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4048th prime is close to 4048 Ć ln(4048) ā 33623, and here it is 38333.
- 4
38333 has no twin: neither 38331 nor 38335 is prime.
Primes around the 4048th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4045 | 38321 | 4 |
| 4046 | 38327 | 6 |
| 4047 | 38329 | 2 |
| 4048 | 38333 | 4 |
| 4049 | 38351 | 18 |
| 4050 | 38371 | 20 |
| 4051 | 38377 | 6 |
Questions
What is the 4048th prime number?
38333.
Which prime number is 38333?
38333 is the 4048th prime number.
What is the sum of the first 4048 primes?
73,095,755.