What is the 4390th prime number?
The 4390th prime number is 41981. The next prime is 41983 (a gap of 2) and the one before is 41969.
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 4390th one is 41981.
- 2
41981 is prime because no prime up to ā41981 ā 204.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4390th prime is close to 4390 Ć ln(4390) ā 36819, and here it is 41981.
- 4
41981 is a twin prime: 41981 and 41983 are both prime.
Primes around the 4390th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4387 | 41957 | 4 |
| 4388 | 41959 | 2 |
| 4389 | 41969 | 10 |
| 4390 | 41981 | 12 |
| 4391 | 41983 | 2 |
| 4392 | 41999 | 16 |
| 4393 | 42013 | 14 |
Questions
What is the 4390th prime number?
41981.
Which prime number is 41981?
41981 is the 4390th prime number.
What is the sum of the first 4390 primes?
86,843,435.