What is the 4055th prime number?
The 4055th prime number is 38449. The next prime is 38453 (a gap of 4) and the one before is 38447.
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 4055th one is 38449.
- 2
38449 is prime because no prime up to ā38449 ā 196.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4055th prime is close to 4055 Ć ln(4055) ā 33688, and here it is 38449.
- 4
38449 is a twin prime: 38447 and 38449 are both prime.
Primes around the 4055th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4052 | 38393 | 16 |
| 4053 | 38431 | 38 |
| 4054 | 38447 | 16 |
| 4055 | 38449 | 2 |
| 4056 | 38453 | 4 |
| 4057 | 38459 | 6 |
| 4058 | 38461 | 2 |
Questions
What is the 4055th prime number?
38449.
Which prime number is 38449?
38449 is the 4055th prime number.
What is the sum of the first 4055 primes?
73,364,574.