What is the 4050th prime number?
The 4050th prime number is 38371. The next prime is 38377 (a gap of 6) and the one before is 38351.
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 4050th one is 38371.
- 2
38371 is prime because no prime up to ā38371 ā 195.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4050th prime is close to 4050 Ć ln(4050) ā 33641, and here it is 38371.
- 4
38371 has no twin: neither 38369 nor 38373 is prime.
Primes around the 4050th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4047 | 38329 | 2 |
| 4048 | 38333 | 4 |
| 4049 | 38351 | 18 |
| 4050 | 38371 | 20 |
| 4051 | 38377 | 6 |
| 4052 | 38393 | 16 |
| 4053 | 38431 | 38 |
Questions
What is the 4050th prime number?
38371.
Which prime number is 38371?
38371 is the 4050th prime number.
What is the sum of the first 4050 primes?
73,172,477.