What is the 4396th prime number?
The 4396th prime number is 42023. The next prime is 42043 (a gap of 20) and the one before is 42019.
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 4396th one is 42023.
- 2
42023 is prime because no prime up to ā42023 ā 205.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4396th prime is close to 4396 Ć ln(4396) ā 36876, and here it is 42023.
- 4
42023 has no twin: neither 42021 nor 42025 is prime.
Primes around the 4396th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4393 | 42013 | 14 |
| 4394 | 42017 | 4 |
| 4395 | 42019 | 2 |
| 4396 | 42023 | 4 |
| 4397 | 42043 | 20 |
| 4398 | 42061 | 18 |
| 4399 | 42071 | 10 |
Questions
What is the 4396th prime number?
42023.
Which prime number is 42023?
42023 is the 4396th prime number.
What is the sum of the first 4396 primes?
87,095,489.