What is the 4494th prime number?
The 4494th prime number is 42989. The next prime is 43003 (a gap of 14) and the one before is 42979.
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 4494th one is 42989.
- 2
42989 is prime because no prime up to ā42989 ā 207.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4494th prime is close to 4494 Ć ln(4494) ā 37797, and here it is 42989.
- 4
42989 has no twin: neither 42987 nor 42991 is prime.
Primes around the 4494th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4491 | 42961 | 8 |
| 4492 | 42967 | 6 |
| 4493 | 42979 | 12 |
| 4494 | 42989 | 10 |
| 4495 | 43003 | 14 |
| 4496 | 43013 | 10 |
| 4497 | 43019 | 6 |
Questions
What is the 4494th prime number?
42989.
Which prime number is 42989?
42989 is the 4494th prime number.
What is the sum of the first 4494 primes?
91,262,257.