What is the 4393rd prime number?
The 4393rd prime number is 42013. The next prime is 42017 (a gap of 4) and the one before is 41999.
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 4393rd one is 42013.
- 2
42013 is prime because no prime up to ā42013 ā 204.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4393rd prime is close to 4393 Ć ln(4393) ā 36847, and here it is 42013.
- 4
42013 has no twin: neither 42011 nor 42015 is prime.
Primes around the 4393rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4390 | 41981 | 12 |
| 4391 | 41983 | 2 |
| 4392 | 41999 | 16 |
| 4393 | 42013 | 14 |
| 4394 | 42017 | 4 |
| 4395 | 42019 | 2 |
| 4396 | 42023 | 4 |
Questions
What is the 4393rd prime number?
42013.
Which prime number is 42013?
42013 is the 4393rd prime number.
What is the sum of the first 4393 primes?
86,969,430.