What is the 4392nd prime number?
The 4392nd prime number is 41999. The next prime is 42013 (a gap of 14) and the one before is 41983.
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 4392nd one is 41999.
- 2
41999 is prime because no prime up to ā41999 ā 204.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4392nd prime is close to 4392 Ć ln(4392) ā 36838, and here it is 41999.
- 4
41999 has no twin: neither 41997 nor 42001 is prime.
Primes around the 4392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4389 | 41969 | 10 |
| 4390 | 41981 | 12 |
| 4391 | 41983 | 2 |
| 4392 | 41999 | 16 |
| 4393 | 42013 | 14 |
| 4394 | 42017 | 4 |
| 4395 | 42019 | 2 |
Questions
What is the 4392nd prime number?
41999.
Which prime number is 41999?
41999 is the 4392nd prime number.
What is the sum of the first 4392 primes?
86,927,417.