What is the 3127th prime number?
The 3127th prime number is 28703. The next prime is 28711 (a gap of 8) and the one before is 28697.
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 3127th one is 28703.
- 2
28703 is prime because no prime up to ā28703 ā 169.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3127th prime is close to 3127 Ć ln(3127) ā 25166, and here it is 28703.
- 4
28703 has no twin: neither 28701 nor 28705 is prime.
Primes around the 3127th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3124 | 28669 | 6 |
| 3125 | 28687 | 18 |
| 3126 | 28697 | 10 |
| 3127 | 28703 | 6 |
| 3128 | 28711 | 8 |
| 3129 | 28723 | 12 |
| 3130 | 28729 | 6 |
Questions
What is the 3127th prime number?
28703.
Which prime number is 28703?
28703 is the 3127th prime number.
What is the sum of the first 3127 primes?
42,214,638.