What is the 3130th prime number?
The 3130th prime number is 28729. The next prime is 28751 (a gap of 22) and the one before is 28723.
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 3130th one is 28729.
- 2
28729 is prime because no prime up to ā28729 ā 169.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3130th prime is close to 3130 Ć ln(3130) ā 25193, and here it is 28729.
- 4
28729 has no twin: neither 28727 nor 28731 is prime.
Primes around the 3130th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3127 | 28703 | 6 |
| 3128 | 28711 | 8 |
| 3129 | 28723 | 12 |
| 3130 | 28729 | 6 |
| 3131 | 28751 | 22 |
| 3132 | 28753 | 2 |
| 3133 | 28759 | 6 |
Questions
What is the 3130th prime number?
28729.
Which prime number is 28729?
28729 is the 3130th prime number.
What is the sum of the first 3130 primes?
42,300,801.