What is the 3096th prime number?
The 3096th prime number is 28447. The next prime is 28463 (a gap of 16) and the one before is 28439.
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 3096th one is 28447.
- 2
28447 is prime because no prime up to ā28447 ā 168.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3096th prime is close to 3096 Ć ln(3096) ā 24885, and here it is 28447.
- 4
28447 has no twin: neither 28445 nor 28449 is prime.
Primes around the 3096th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3093 | 28429 | 18 |
| 3094 | 28433 | 4 |
| 3095 | 28439 | 6 |
| 3096 | 28447 | 8 |
| 3097 | 28463 | 16 |
| 3098 | 28477 | 14 |
| 3099 | 28493 | 16 |
Questions
What is the 3096th prime number?
28447.
Which prime number is 28447?
28447 is the 3096th prime number.
What is the sum of the first 3096 primes?
41,328,295.