What is the 3129th prime number?
The 3129th prime number is 28723. The next prime is 28729 (a gap of 6) and the one before is 28711.
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 3129th one is 28723.
- 2
28723 is prime because no prime up to ā28723 ā 169.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3129th prime is close to 3129 Ć ln(3129) ā 25184, and here it is 28723.
- 4
28723 has no twin: neither 28721 nor 28725 is prime.
Primes around the 3129th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3126 | 28697 | 10 |
| 3127 | 28703 | 6 |
| 3128 | 28711 | 8 |
| 3129 | 28723 | 12 |
| 3130 | 28729 | 6 |
| 3131 | 28751 | 22 |
| 3132 | 28753 | 2 |
Questions
What is the 3129th prime number?
28723.
Which prime number is 28723?
28723 is the 3129th prime number.
What is the sum of the first 3129 primes?
42,272,072.