What is the 3342nd prime number?
The 3342nd prime number is 31019. The next prime is 31033 (a gap of 14) and the one before is 31013.
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 3342nd one is 31019.
- 2
31019 is prime because no prime up to ā31019 ā 176.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3342nd prime is close to 3342 Ć ln(3342) ā 27118, and here it is 31019.
- 4
31019 has no twin: neither 31017 nor 31021 is prime.
Primes around the 3342nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3339 | 30977 | 6 |
| 3340 | 30983 | 6 |
| 3341 | 31013 | 30 |
| 3342 | 31019 | 6 |
| 3343 | 31033 | 14 |
| 3344 | 31039 | 6 |
| 3345 | 31051 | 12 |
Questions
What is the 3342nd prime number?
31019.
Which prime number is 31019?
31019 is the 3342nd prime number.
What is the sum of the first 3342 primes?
48,635,025.