What is the 3331st prime number?
The 3331st prime number is 30881. The next prime is 30893 (a gap of 12) and the one before is 30871.
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 3331st one is 30881.
- 2
30881 is prime because no prime up to ā30881 ā 175.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3331st prime is close to 3331 Ć ln(3331) ā 27018, and here it is 30881.
- 4
30881 has no twin: neither 30879 nor 30883 is prime.
Primes around the 3331st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3328 | 30859 | 6 |
| 3329 | 30869 | 10 |
| 3330 | 30871 | 2 |
| 3331 | 30881 | 10 |
| 3332 | 30893 | 12 |
| 3333 | 30911 | 18 |
| 3334 | 30931 | 20 |
Questions
What is the 3331st prime number?
30881.
Which prime number is 30881?
30881 is the 3331st prime number.
What is the sum of the first 3331 primes?
48,294,500.