What is the 3334th prime number?
The 3334th prime number is 30931. The next prime is 30937 (a gap of 6) and the one before is 30911.
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 3334th one is 30931.
- 2
30931 is prime because no prime up to ā30931 ā 175.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3334th prime is close to 3334 Ć ln(3334) ā 27045, and here it is 30931.
- 4
30931 has no twin: neither 30929 nor 30933 is prime.
Primes around the 3334th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3331 | 30881 | 10 |
| 3332 | 30893 | 12 |
| 3333 | 30911 | 18 |
| 3334 | 30931 | 20 |
| 3335 | 30937 | 6 |
| 3336 | 30941 | 4 |
| 3337 | 30949 | 8 |
Questions
What is the 3334th prime number?
30931.
Which prime number is 30931?
30931 is the 3334th prime number.
What is the sum of the first 3334 primes?
48,387,235.