What is the 4492nd prime number?
The 4492nd prime number is 42967. The next prime is 42979 (a gap of 12) and the one before is 42961.
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 4492nd one is 42967.
- 2
42967 is prime because no prime up to ā42967 ā 207.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4492nd prime is close to 4492 Ć ln(4492) ā 37778, and here it is 42967.
- 4
42967 has no twin: neither 42965 nor 42969 is prime.
Primes around the 4492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4489 | 42943 | 6 |
| 4490 | 42953 | 10 |
| 4491 | 42961 | 8 |
| 4492 | 42967 | 6 |
| 4493 | 42979 | 12 |
| 4494 | 42989 | 10 |
| 4495 | 43003 | 14 |
Questions
What is the 4492nd prime number?
42967.
Which prime number is 42967?
42967 is the 4492nd prime number.
What is the sum of the first 4492 primes?
91,176,289.