What is the 3355th prime number?
The 3355th prime number is 31151. The next prime is 31153 (a gap of 2) and the one before is 31147.
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 3355th one is 31151.
- 2
31151 is prime because no prime up to ā31151 ā 176.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3355th prime is close to 3355 Ć ln(3355) ā 27237, and here it is 31151.
- 4
31151 is a twin prime: 31151 and 31153 are both prime.
Primes around the 3355th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3352 | 31123 | 2 |
| 3353 | 31139 | 16 |
| 3354 | 31147 | 8 |
| 3355 | 31151 | 4 |
| 3356 | 31153 | 2 |
| 3357 | 31159 | 6 |
| 3358 | 31177 | 18 |
Questions
What is the 3355th prime number?
31151.
Which prime number is 31151?
31151 is the 3355th prime number.
What is the sum of the first 3355 primes?
49,039,212.