What is the 4389th prime number?
The 4389th prime number is 41969. The next prime is 41981 (a gap of 12) and the one before is 41959.
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 4389th one is 41969.
- 2
41969 is prime because no prime up to ā41969 ā 204.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4389th prime is close to 4389 Ć ln(4389) ā 36810, and here it is 41969.
- 4
41969 has no twin: neither 41967 nor 41971 is prime.
Primes around the 4389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4386 | 41953 | 6 |
| 4387 | 41957 | 4 |
| 4388 | 41959 | 2 |
| 4389 | 41969 | 10 |
| 4390 | 41981 | 12 |
| 4391 | 41983 | 2 |
| 4392 | 41999 | 16 |
Questions
What is the 4389th prime number?
41969.
Which prime number is 41969?
41969 is the 4389th prime number.
What is the sum of the first 4389 primes?
86,801,454.