What is the 4489th prime number?
The 4489th prime number is 42943. The next prime is 42953 (a gap of 10) and the one before is 42937.
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 4489th one is 42943.
- 2
42943 is prime because no prime up to ā42943 ā 207.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4489th prime is close to 4489 Ć ln(4489) ā 37750, and here it is 42943.
- 4
42943 has no twin: neither 42941 nor 42945 is prime.
Primes around the 4489th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4486 | 42923 | 22 |
| 4487 | 42929 | 6 |
| 4488 | 42937 | 8 |
| 4489 | 42943 | 6 |
| 4490 | 42953 | 10 |
| 4491 | 42961 | 8 |
| 4492 | 42967 | 6 |
Questions
What is the 4489th prime number?
42943.
Which prime number is 42943?
42943 is the 4489th prime number.
What is the sum of the first 4489 primes?
91,047,408.