What is the 4056th prime number?
The 4056th prime number is 38453. The next prime is 38459 (a gap of 6) and the one before is 38449.
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 4056th one is 38453.
- 2
38453 is prime because no prime up to ā38453 ā 196.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4056th prime is close to 4056 Ć ln(4056) ā 33697, and here it is 38453.
- 4
38453 has no twin: neither 38451 nor 38455 is prime.
Primes around the 4056th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4053 | 38431 | 38 |
| 4054 | 38447 | 16 |
| 4055 | 38449 | 2 |
| 4056 | 38453 | 4 |
| 4057 | 38459 | 6 |
| 4058 | 38461 | 2 |
| 4059 | 38501 | 40 |
Questions
What is the 4056th prime number?
38453.
Which prime number is 38453?
38453 is the 4056th prime number.
What is the sum of the first 4056 primes?
73,403,027.