What is the 3133rd prime number?
The 3133rd prime number is 28759. The next prime is 28771 (a gap of 12) and the one before is 28753.
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 3133rd one is 28759.
- 2
28759 is prime because no prime up to ā28759 ā 169.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3133rd prime is close to 3133 Ć ln(3133) ā 25220, and here it is 28759.
- 4
28759 has no twin: neither 28757 nor 28761 is prime.
Primes around the 3133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3130 | 28729 | 6 |
| 3131 | 28751 | 22 |
| 3132 | 28753 | 2 |
| 3133 | 28759 | 6 |
| 3134 | 28771 | 12 |
| 3135 | 28789 | 18 |
| 3136 | 28793 | 4 |
Questions
What is the 3133rd prime number?
28759.
Which prime number is 28759?
28759 is the 3133rd prime number.
What is the sum of the first 3133 primes?
42,387,064.