What is the 3353rd prime number?
The 3353rd prime number is 31139. The next prime is 31147 (a gap of 8) and the one before is 31123.
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 3353rd one is 31139.
- 2
31139 is prime because no prime up to ā31139 ā 176.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3353rd prime is close to 3353 Ć ln(3353) ā 27218, and here it is 31139.
- 4
31139 has no twin: neither 31137 nor 31141 is prime.
Primes around the 3353rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3350 | 31091 | 10 |
| 3351 | 31121 | 30 |
| 3352 | 31123 | 2 |
| 3353 | 31139 | 16 |
| 3354 | 31147 | 8 |
| 3355 | 31151 | 4 |
| 3356 | 31153 | 2 |
Questions
What is the 3353rd prime number?
31139.
Which prime number is 31139?
31139 is the 3353rd prime number.
What is the sum of the first 3353 primes?
48,976,914.