What is the 3332nd prime number?
The 3332nd prime number is 30893. The next prime is 30911 (a gap of 18) and the one before is 30881.
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 3332nd one is 30893.
- 2
30893 is prime because no prime up to ā30893 ā 175.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3332nd prime is close to 3332 Ć ln(3332) ā 27027, and here it is 30893.
- 4
30893 has no twin: neither 30891 nor 30895 is prime.
Primes around the 3332nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3329 | 30869 | 10 |
| 3330 | 30871 | 2 |
| 3331 | 30881 | 10 |
| 3332 | 30893 | 12 |
| 3333 | 30911 | 18 |
| 3334 | 30931 | 20 |
| 3335 | 30937 | 6 |
Questions
What is the 3332nd prime number?
30893.
Which prime number is 30893?
30893 is the 3332nd prime number.
What is the sum of the first 3332 primes?
48,325,393.