What is the 3341st prime number?
The 3341st prime number is 31013. The next prime is 31019 (a gap of 6) and the one before is 30983.
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 3341st one is 31013.
- 2
31013 is prime because no prime up to ā31013 ā 176.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3341st prime is close to 3341 Ć ln(3341) ā 27109, and here it is 31013.
- 4
31013 has no twin: neither 31011 nor 31015 is prime.
Primes around the 3341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3338 | 30971 | 22 |
| 3339 | 30977 | 6 |
| 3340 | 30983 | 6 |
| 3341 | 31013 | 30 |
| 3342 | 31019 | 6 |
| 3343 | 31033 | 14 |
| 3344 | 31039 | 6 |
Questions
What is the 3341st prime number?
31013.
Which prime number is 31013?
31013 is the 3341st prime number.
What is the sum of the first 3341 primes?
48,604,006.