What is the 3134th prime number?
The 3134th prime number is 28771. The next prime is 28789 (a gap of 18) and the one before is 28759.
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 3134th one is 28771.
- 2
28771 is prime because no prime up to ā28771 ā 169.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3134th prime is close to 3134 Ć ln(3134) ā 25229, and here it is 28771.
- 4
28771 has no twin: neither 28769 nor 28773 is prime.
Primes around the 3134th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3131 | 28751 | 22 |
| 3132 | 28753 | 2 |
| 3133 | 28759 | 6 |
| 3134 | 28771 | 12 |
| 3135 | 28789 | 18 |
| 3136 | 28793 | 4 |
| 3137 | 28807 | 14 |
Questions
What is the 3134th prime number?
28771.
Which prime number is 28771?
28771 is the 3134th prime number.
What is the sum of the first 3134 primes?
42,415,835.