What is the 4493rd prime number?
The 4493rd prime number is 42979. The next prime is 42989 (a gap of 10) and the one before is 42967.
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 4493rd one is 42979.
- 2
42979 is prime because no prime up to ā42979 ā 207.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4493rd prime is close to 4493 Ć ln(4493) ā 37787, and here it is 42979.
- 4
42979 has no twin: neither 42977 nor 42981 is prime.
Primes around the 4493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4490 | 42953 | 10 |
| 4491 | 42961 | 8 |
| 4492 | 42967 | 6 |
| 4493 | 42979 | 12 |
| 4494 | 42989 | 10 |
| 4495 | 43003 | 14 |
| 4496 | 43013 | 10 |
Questions
What is the 4493rd prime number?
42979.
Which prime number is 42979?
42979 is the 4493rd prime number.
What is the sum of the first 4493 primes?
91,219,268.