What is the 4398th prime number?
The 4398th prime number is 42061. The next prime is 42071 (a gap of 10) and the one before is 42043.
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 4398th one is 42061.
- 2
42061 is prime because no prime up to ā42061 ā 205.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4398th prime is close to 4398 Ć ln(4398) ā 36894, and here it is 42061.
- 4
42061 has no twin: neither 42059 nor 42063 is prime.
Primes around the 4398th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4395 | 42019 | 2 |
| 4396 | 42023 | 4 |
| 4397 | 42043 | 20 |
| 4398 | 42061 | 18 |
| 4399 | 42071 | 10 |
| 4400 | 42073 | 2 |
| 4401 | 42083 | 10 |
Questions
What is the 4398th prime number?
42061.
Which prime number is 42061?
42061 is the 4398th prime number.
What is the sum of the first 4398 primes?
87,179,593.