What is the 3354th prime number?
The 3354th prime number is 31147. The next prime is 31151 (a gap of 4) and the one before is 31139.
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 3354th one is 31147.
- 2
31147 is prime because no prime up to ā31147 ā 176.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3354th prime is close to 3354 Ć ln(3354) ā 27227, and here it is 31147.
- 4
31147 has no twin: neither 31145 nor 31149 is prime.
Primes around the 3354th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3351 | 31121 | 30 |
| 3352 | 31123 | 2 |
| 3353 | 31139 | 16 |
| 3354 | 31147 | 8 |
| 3355 | 31151 | 4 |
| 3356 | 31153 | 2 |
| 3357 | 31159 | 6 |
Questions
What is the 3354th prime number?
31147.
Which prime number is 31147?
31147 is the 3354th prime number.
What is the sum of the first 3354 primes?
49,008,061.