What is the 3356th prime number?
The 3356th prime number is 31153. The next prime is 31159 (a gap of 6) and the one before is 31151.
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 3356th one is 31153.
- 2
31153 is prime because no prime up to ā31153 ā 176.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3356th prime is close to 3356 Ć ln(3356) ā 27246, and here it is 31153.
- 4
31153 is a twin prime: 31151 and 31153 are both prime.
Primes around the 3356th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3353 | 31139 | 16 |
| 3354 | 31147 | 8 |
| 3355 | 31151 | 4 |
| 3356 | 31153 | 2 |
| 3357 | 31159 | 6 |
| 3358 | 31177 | 18 |
| 3359 | 31181 | 4 |
Questions
What is the 3356th prime number?
31153.
Which prime number is 31153?
31153 is the 3356th prime number.
What is the sum of the first 3356 primes?
49,070,365.