What is the 4388th prime number?
The 4388th prime number is 41959. The next prime is 41969 (a gap of 10) and the one before is 41957.
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 4388th one is 41959.
- 2
41959 is prime because no prime up to ā41959 ā 204.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4388th prime is close to 4388 Ć ln(4388) ā 36801, and here it is 41959.
- 4
41959 is a twin prime: 41957 and 41959 are both prime.
Primes around the 4388th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4385 | 41947 | 6 |
| 4386 | 41953 | 6 |
| 4387 | 41957 | 4 |
| 4388 | 41959 | 2 |
| 4389 | 41969 | 10 |
| 4390 | 41981 | 12 |
| 4391 | 41983 | 2 |
Questions
What is the 4388th prime number?
41959.
Which prime number is 41959?
41959 is the 4388th prime number.
What is the sum of the first 4388 primes?
86,759,485.